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K3 SURFACE

  • K3 surface
  • Type of smooth complex surface of kodaira dimension 0

    p. 546), describing the reason for the name "K3 surface" In mathematics, a complex analytic K3 surface is a compact connected complex manifold of dimension

    K3 surface

    K3 surface

    K3_surface

  • Supersingular K3 surface
  • Mathematical surface

    In algebraic geometry, a supersingular K3 surface is a K3 surface over a field k of characteristic p > 0 such that the slopes of Frobenius on the crystalline

    Supersingular K3 surface

    Supersingular_K3_surface

  • Enriques surface
  • Algebraic surface with special triviality properties

    of K3 surfaces by a group of order 2 acting without fixed points and their theory is similar to that of algebraic K3 surfaces. Enriques surfaces were

    Enriques surface

    Enriques_surface

  • Calabi–Yau manifold
  • Riemannian manifold with SU(n) holonomy

    Calabi–Yau manifolds are complex manifolds that are generalizations of K3 surfaces in any number of complex dimensions (i.e. any even number of real dimensions)

    Calabi–Yau manifold

    Calabi–Yau manifold

    Calabi–Yau_manifold

  • K3
  • Topics referred to by the same term

    version of the K (programming language) K3 surface, a compact complex surface in mathematics Menadione, vitamin K3 K3, 1774 marine chronometer made by Larcum

    K3

    K3

  • Umbral moonshine
  • Topic in group theory and harmonic analysis (Niemeier lattice-mock theta connection)

    phenomenon connecting representations of the Mathieu group M24 with K3 surfaces. The usage of the term "umbral" in this context is unrelated to the umbral

    Umbral moonshine

    Umbral moonshine

    Umbral_moonshine

  • Supersingular variety
  • Mathematical concept

    entirely by H1. For K3 surfaces in characteristic p > 0, two related notions of supersingularity have been studied. A K3 surface is Artin supersingular

    Supersingular variety

    Supersingular_variety

  • Monstrous moonshine
  • Monster and modular connection

    with K3 target that carries M24 symmetry. However, by the Mukai–Kondo classification, there is no faithful action of this group on any K3 surface by symplectic

    Monstrous moonshine

    Monstrous moonshine

    Monstrous_moonshine

  • Pontryagin class
  • Characteristic class for real vector bundles

    in C P 3 {\displaystyle \mathbb {CP} ^{3}} is a smooth subvariety is a K3 surface. If we use the normal sequence 0 → T X → T C P 3 | X → O ( 4 ) → 0 {\displaystyle

    Pontryagin class

    Pontryagin_class

  • Kähler manifold
  • Manifold with Riemannian, complex and symplectic structure

    a complete Kähler metric with nonpositive sectional curvature. Every K3 surface is Kähler (by Siu). A smooth real-valued function ρ {\displaystyle \rho

    Kähler manifold

    Kähler_manifold

  • List of complex and algebraic surfaces
  • linear system of quadric surfaces in projective 3-space P 3 {\displaystyle \mathbb {P} ^{3}} . The quotient of a K3 surface under a fixpointfree involution

    List of complex and algebraic surfaces

    List_of_complex_and_algebraic_surfaces

  • Hodge theory
  • Mathematical manifold theory

    of all projective K3 surfaces has a countably infinite set of components, each of complex dimension 19. The subspace of K3 surfaces with Picard number

    Hodge theory

    Hodge_theory

  • Blue Bird K3
  • Hydroplane powerboat

    Blue Bird K3 is a hydroplane powerboat commissioned in 1937 by Sir Malcolm Campbell, to rival the Americans' efforts in the fight for the world water speed

    Blue Bird K3

    Blue Bird K3

    Blue_Bird_K3

  • Kummer surface
  • Irreducible nodal surface

    these K3 surfaces are also sometimes called Kummer surfaces. Other surfaces closely related to Kummer surfaces include Weddle surfaces, wave surfaces, and

    Kummer surface

    Kummer surface

    Kummer_surface

  • Enriques–Kodaira classification
  • Mathematical classification of surfaces

    surfaces, all hyperelliptic surfaces, all Kodaira surfaces, some K3 surfaces, some abelian surfaces, and some rational surfaces are elliptic surfaces

    Enriques–Kodaira classification

    Enriques–Kodaira_classification

  • String theory
  • Theory of subatomic structure

    Eguchi, Tohru; Ooguri, Hirosi; Tachikawa, Yuji (2011). "Notes on the K3 surface and the Mathieu group M24". Experimental Mathematics. 20 (1): 91–96. arXiv:1004

    String theory

    String_theory

  • Mirror symmetry (string theory)
  • In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds

    dimensions, the Calabi–Yau becomes a K3 surface. Just as the torus was decomposed into circles, a four-dimensional K3 surface can be decomposed into two-dimensional

    Mirror symmetry (string theory)

    Mirror_symmetry_(string_theory)

  • Genus of a multiplicative sequence
  • Ring homomorphism from the cobordism ring of manifolds to another ring

    {\displaystyle p_{2}} , and so was not smoothable. Since projective K3 surfaces are smooth complex manifolds of dimension two, their only non-trivial

    Genus of a multiplicative sequence

    Genus of a multiplicative sequence

    Genus_of_a_multiplicative_sequence

  • Moduli space
  • Geometric space whose points represent algebro-geometric objects of some fixed kind

    important open problem, and only special cases such as moduli spaces of K3 surfaces or abelian varieties are understood. Another important moduli problem

    Moduli space

    Moduli_space

  • Hyperkähler manifold
  • Type of Riemannian manifold

    Kodaira's classification of complex surfaces, we know that any compact hyperkähler 4-manifold is either a K3 surface or a compact torus T 4 {\displaystyle

    Hyperkähler manifold

    Hyperkähler_manifold

  • Mixed Hodge structure
  • Algebraic structure

    {\displaystyle H^{1}(\mathbb {G} _{m})\cong \mathbb {Z} (-1)} Given a quartic K3 surface X {\displaystyle X} , and a genus 3 curve i : C ↪ X {\displaystyle i:C\hookrightarrow

    Mixed Hodge structure

    Mixed_Hodge_structure

  • Orbifold
  • Generalized manifold

    complex K3 surfaces: Every K3 surface admits 16 cycles of dimension 2 that are topologically equivalent to usual 2-spheres. Making the surface of these

    Orbifold

    Orbifold

    Orbifold

  • Black hole
  • Compact astronomical body

    times the radius of the sun would not let any emitted light escape; the surface escape velocity would exceed the speed of light. Michell correctly hypothesized

    Black hole

    Black hole

    Black_hole

  • K2
  • 2nd-highest mountain on Earth

    first man—or of the cindered planet after the last. André Weil named K3 surfaces in mathematics partly after the beauty of the mountain K2. K2 lies in

    K2

    K2

    K2

  • Tate conjecture
  • Conjecture in algebraic geometry

    characteristic zero, the Tate conjecture for K3 surfaces was proved by André and Tankeev. For K3 surfaces over finite fields of characteristic not 2, the

    Tate conjecture

    Tate conjecture

    Tate_conjecture

  • Quartic surface
  • Surface described by a 4th-degree polynomial

    quartic surface. Dupin cyclides The Fermat quartic, given by x4 + y4 + z4 + w4 =0 (an example of a K3 surface). More generally, certain K3 surfaces are examples

    Quartic surface

    Quartic_surface

  • Brane
  • Extended physical object in string theory

    endpoints of strings. Intuitively, one can think of a submanifold as a surface embedded inside of a Calabi–Yau manifold, although submanifolds can also

    Brane

    Brane

  • Holographic principle
  • Principle in theoretical physics

    people—is a hologram, an image of reality coded on a distant two-dimensional surface." As pointed out by Raphael Bousso, Thorn observed in 1978 that string

    Holographic principle

    Holographic_principle

  • Miranda Cheng
  • Taiwanese-born Dutch-educated mathematician and physicist (born 1979)

    umbral moonshine conjectures and for her work on the connections between K3 surfaces and string theory. Cheng was born in 1979 in Taipei, Taiwan, where she

    Miranda Cheng

    Miranda_Cheng

  • Soheyla Feyzbakhsh
  • Iranian-British mathematician

    conjecture of Japanese mathematician Shigeru Mukai, according to which any K3 surface can be uniquely determined by a single curve within it. By bringing in

    Soheyla Feyzbakhsh

    Soheyla_Feyzbakhsh

  • Brane cosmology
  • Theories in particle physics and cosmology

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Brane cosmology

    Brane cosmology

    Brane_cosmology

  • Rokhlin's theorem
  • On the intersection form of a smooth, closed 4-manifold with a spin structure

    Rokhlin's theorem forces one extra factor of 2 to divide the signature. A K3 surface is compact, 4 dimensional, and w 2 ( M ) {\displaystyle w_{2}(M)} vanishes

    Rokhlin's theorem

    Rokhlin's_theorem

  • Tachyon
  • Hypothetical faster-than-light particle

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Tachyon

    Tachyon

  • Projective bundle
  • Fiber bundle whose fibers are projective spaces

    such as Lefschetz fibrations. For example, an elliptic K3 surface X {\displaystyle X} is a K3 surface with a fibration π : X → P 1 {\displaystyle \pi :X\to

    Projective bundle

    Projective_bundle

  • Graviton
  • Hypothetical elementary particle that mediates gravity

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Graviton

    Graviton

  • Complex geometry
  • Study of complex manifolds and several complex variables

    respectively. Other important examples of Kähler manifolds include Riemann surfaces, K3 surfaces, and Calabi–Yau manifolds. Serre's GAGA theorem asserts that projective

    Complex geometry

    Complex_geometry

  • Alessandra Sarti
  • Italian mathematician

    algebraic geometry. She is the namesake of the Sarti surface, and has also published research on K3 surfaces. She works in France as a professor at the University

    Alessandra Sarti

    Alessandra_Sarti

  • Derived noncommutative algebraic geometry
  • Mathematics study in geometry

    two K3 surfaces are derived equivalent: the derived category of the K3 surface D b ( X ) {\displaystyle D^{b}(X)} is derived equivalent to another K3 D

    Derived noncommutative algebraic geometry

    Derived_noncommutative_algebraic_geometry

  • Hilbert scheme
  • Moduli scheme of subschemes of a scheme, represents the flat-family-of-subschemes functor

    points on the K3 surface and on a 4-dimensional torus give two series of examples of hyperkähler manifolds: a Hilbert scheme of points on K3 and a generalized

    Hilbert scheme

    Hilbert_scheme

  • M-theory
  • Framework of superstring theory

    contains a second dimension, its circumference. Thus, an ant crawling on the surface of the hose would move in two dimensions. Theories that arise as different

    M-theory

    M-theory

  • Kobayashi metric
  • Pseudometric of complex manifolds

    Calabi–Yau manifolds. This is true in the case of K3 surfaces, using that every projective K3 surface is covered by a family of elliptic curves. More generally

    Kobayashi metric

    Kobayashi_metric

  • List of manifolds
  • Complex projective plane Del Pezzo surface E8 manifold Enriques surface Exotic R4 Hirzebruch surface K3 surface For more examples see 4-manifold. Brieskorn

    List of manifolds

    List_of_manifolds

  • Kodaira dimension
  • Concept in algebraic geometry

    manifolds (in dimension 1, elliptic curves; in dimension 2, abelian surfaces, K3 surfaces, and quotients of those varieties by finite groups) have Kodaira

    Kodaira dimension

    Kodaira_dimension

  • Superstring theory
  • Theory of strings with supersymmetry

    general relativity predicts a smooth, flowing surface, while quantum mechanics predicts a random, warped surface, which are nowhere near compatible. Superstring

    Superstring theory

    Superstring_theory

  • G2 (mathematics)
  • Simple Lie group; the automorphism group of the octonions

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    G2 (mathematics)

    G2 (mathematics)

    G2_(mathematics)

  • Kunihiko Kodaira
  • Japanese mathematician (1915–1997)

    afterwards. This work also included a characterisation of K3 surfaces as deformations of quartic surfaces in P3, and the theorem that they form a single diffeomorphism

    Kunihiko Kodaira

    Kunihiko Kodaira

    Kunihiko_Kodaira

  • String (physics)
  • Hypothetical physical entity

    string propagates through spacetime, a string sweeps out a two-dimensional surface called its worldsheet. This is analogous to the one-dimensional worldline

    String (physics)

    String_(physics)

  • Clifford's theorem on special divisors
  • Green’s generic syzygy conjecture for curves of even genus lying on a K3 surface - Claire Voisin Satter Prize Arbarello, Enrico; Cornalba, Maurizio; Griffiths

    Clifford's theorem on special divisors

    Clifford's_theorem_on_special_divisors

  • Canonical bundle
  • Concept in algebraic geometry

    of a K3 surface. On the other hand, a minimal genus one fibration of an Enriques surface will always admit multiple fibers and so, such a surface will

    Canonical bundle

    Canonical_bundle

  • String theory landscape
  • Collection of possible string theory vacua

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    String theory landscape

    String_theory_landscape

  • Scalar curvature
  • Measure of curvature in differential geometry

    there are examples of manifolds with these holonomy groups, such as the K3 surface, which are spin and have nonzero α-invariant, hence are strongly scalar-flat

    Scalar curvature

    Scalar_curvature

  • F-theory
  • Branch of string theory

    elliptic curve). For example, a subclass of the K3 manifolds is elliptically fibered, and F-theory on a K3 manifold is dual to heterotic string theory on

    F-theory

    F-theory

  • Supersymmetry
  • Symmetry between bosons and fermions

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Supersymmetry

    Supersymmetry

  • Tachyon condensation
  • Process in particle physics

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Tachyon condensation

    Tachyon_condensation

  • AdS/CFT correspondence
  • Duality between theories of gravity on anti-de Sitter space and conformal field theories

    studied in the context of string theory, where they are associated with the surface swept out by a string propagating through spacetime, and in statistical

    AdS/CFT correspondence

    AdS/CFT_correspondence

  • Daniel Huybrechts
  • German mathematician (born 1966)

    been a professor at the University of Bonn. Huybrechts does research on K3 surfaces and their higher-dimensional analogues (compact hyperkähler manifolds)

    Daniel Huybrechts

    Daniel Huybrechts

    Daniel_Huybrechts

  • Chern–Simons form
  • Secondary characteristic classes of 3-manifolds

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Chern–Simons form

    Chern–Simons_form

  • Vojta's conjecture
  • On heights of points on algebraic varieties over number fields

    variety with trivial canonical bundle, for example, an abelian variety, a K3 surface or a Calabi-Yau variety. Vojta's conjecture predicts that if D {\displaystyle

    Vojta's conjecture

    Vojta's_conjecture

  • Algebraic surface
  • Algebraic variety of dimension two

    cubic surfaces, Veronese surface, del Pezzo surfaces, ruled surfaces κ = 0 : K3 surfaces, abelian surfaces, Enriques surfaces, hyperelliptic surfaces κ =

    Algebraic surface

    Algebraic_surface

  • Introduction to M-theory
  • Candidate "Theory of Everything"

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Introduction to M-theory

    Introduction_to_M-theory

  • Complex projective space
  • Mathematical concept

    Quaternionic projective space Real projective space Complex affine space K3 surface Besse, Arthur L. (1978), Manifolds all of whose geodesics are closed,

    Complex projective space

    Complex projective space

    Complex_projective_space

  • Spin(7)-manifold
  • Eight-dimensional Riemannian manifold

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Spin(7)-manifold

    Spin(7)-manifold

  • Torelli theorem
  • Describes when a compact Riemann surface is determined by its Jacobian variety

    other period mappings. A case that has been investigated deeply is for K3 surfaces (by Viktor S. Kulikov, Ilya Pyatetskii-Shapiro, Igor Shafarevich and

    Torelli theorem

    Torelli_theorem

  • Italian school of algebraic geometry
  • Group of Italian mathematicians who studied birational geometry (c. 1885–1935)

    analogues of the curve cases, and two more (elliptic fibrations, and K3 surfaces, as they would now be called) being with the case of two-dimension abelian

    Italian school of algebraic geometry

    Italian_school_of_algebraic_geometry

  • Hodge structure
  • Algebraic structure

    n-p}(X)_{\text{prim}}\cong R(f)_{(n+1-p)d-n-2}} For example, consider the K3 surface given by g = x 0 4 + ⋯ + x 3 4 {\displaystyle g=x_{0}^{4}+\cdots +x_{3}^{4}}

    Hodge structure

    Hodge_structure

  • Homological mirror symmetry
  • Mathematics concept

    diamond is especially simple: it is the following figure. In the case of a K3 surface, which is viewed as 2-dimensional Calabi–Yau manifold, since the Betti

    Homological mirror symmetry

    Homological mirror symmetry

    Homological_mirror_symmetry

  • Ricci-flat manifold
  • Type of geometry in mathematics

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Ricci-flat manifold

    Ricci-flat_manifold

  • List of differential geometry topics
  • Generalized complex manifold Calabi–Yau manifold Hyperkähler manifold K3 surface hypercomplex manifold Quaternion-Kähler manifold Symplectic topology Symplectic

    List of differential geometry topics

    List_of_differential_geometry_topics

  • Conifold
  • Generalization of a manifold

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Conifold

    Conifold

  • Bosonic string theory
  • 26-dimensional string theory

    euclidean bosonic orientable closed strings are compact orientable Riemannian surfaces and are thus identified by a genus h {\displaystyle h} . A normalization

    Bosonic string theory

    Bosonic_string_theory

  • Michael Artin
  • American mathematician (born 1934)

    conjecture for elliptic K3 surfaces and the pencil of elliptic curves over finite fields. He contributed to the theory of surface singularities which are

    Michael Artin

    Michael Artin

    Michael_Artin

  • G2 manifold
  • Seven-dimensional Riemannian manifold

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    G2 manifold

    G2_manifold

  • Matrix string theory
  • Set of equations that describe superstring theory in a non-perturbative framework

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Matrix string theory

    Matrix_string_theory

  • Barton Zwiebach
  • Peruvian theoretical physicist (b. 1954)

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Barton Zwiebach

    Barton Zwiebach

    Barton_Zwiebach

  • Instanton
  • Solitons in Euclidean spacetime

    twistor theory, which relates them to algebraic vector bundles on algebraic surfaces, and via the ADHM construction, or hyperkähler reduction (see hyperkähler

    Instanton

    Instanton

    Instanton

  • Non-linear sigma model
  • Class of quantum field theory models

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Non-linear sigma model

    Non-linear_sigma_model

  • F4 (mathematics)
  • 52-dimensional exceptional simple Lie group

    {Y}}&X&z\end{bmatrix}}} The set of polynomials defines a 24-dimensional compact surface (the 24-dimensional isoparametric hypersurface in the unit sphere C 2 =

    F4 (mathematics)

    F4 (mathematics)

    F4_(mathematics)

  • Kaluza–Klein theory
  • Unified field theory

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Kaluza–Klein theory

    Kaluza–Klein theory

    Kaluza–Klein_theory

  • Matrix theory (physics)
  • Quantum mechanical model based on mathematical matrices

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Matrix theory (physics)

    Matrix_theory_(physics)

  • D-brane
  • Extended objects found in string theory

    to the mass, the Bekenstein entropy is proportional to the black hole's surface area. In fact, S B = A k B 4 l P 2 , {\displaystyle S_{\rm {B}}={\frac

    D-brane

    D-brane

    D-brane

  • Leray spectral sequence
  • Mathematical sequence

    X → Y {\displaystyle f\colon X\to Y} of genus 3 curves over a smooth K3 surface. Then, we have that R 0 f ∗ ( Q _ X ) ≅ Q _ Y R 1 f ∗ ( Q _ X ) ≅ Q _

    Leray spectral sequence

    Leray_spectral_sequence

  • Surface of general type
  • in P3, non-singular surfaces of degree at least 5 are of general type (Non-singular hypersurfaces of degree 4 are K3 surfaces, and those of degree less

    Surface of general type

    Surface_of_general_type

  • E7 (mathematics)
  • 133-dimensional exceptional simple Lie group

    compactifications of heterotic string theory, for instance on the four-dimensional surface K3. En (Lie algebra) ADE classification List of simple Lie groups See Springer

    E7 (mathematics)

    E7 (mathematics)

    E7_(mathematics)

  • Loop algebra
  • Type of Lie algebra of interest in physics

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Loop algebra

    Loop_algebra

  • List of algebraic geometry topics
  • List of algebraic surfaces Ruled surface Cubic surface Veronese surface Del Pezzo surface Rational surface Enriques surface K3 surface Hodge index theorem

    List of algebraic geometry topics

    List_of_algebraic_geometry_topics

  • E8 (mathematics)
  • 248-dimensional exceptional simple Lie group

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    E8 (mathematics)

    E8 (mathematics)

    E8_(mathematics)

  • List of quantum field theories
  • manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    List of quantum field theories

    List_of_quantum_field_theories

  • String field theory
  • Formalism in string theory

    {\displaystyle n} th order vertex arising from a genus g {\displaystyle g} surface and g c {\displaystyle g_{c}} is the closed string coupling. The structure

    String field theory

    String_field_theory

  • S-duality
  • Equivalence of two physical theories

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    S-duality

    S-duality

  • Supergroup (physics)
  • Algebraic structure used in theoretical physics

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Supergroup (physics)

    Supergroup_(physics)

  • Kac–Moody algebra
  • Lie algebra, usually infinite-dimensional

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Kac–Moody algebra

    Kac–Moody_algebra

  • Type I string theory
  • Aspect of theoretical physics

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Type I string theory

    Type_I_string_theory

  • Nambu–Goto action
  • Invariant action in bosonic string theory

    is represented by a world-sheet. All world-sheets are two-dimensional surfaces, hence we need two parameters to specify a point on a world-sheet. String

    Nambu–Goto action

    Nambu–Goto_action

  • Serre spectral sequence
  • Spectral sequence in algebraic topology

    {\displaystyle {\mathcal {O}}_{X}(a)\oplus {\mathcal {O}}_{X}(b)} for X a K3 surface. Then, the spectral sequence reads as E 2 = E 3 = E 4 = 3 H 0 ( X ; Z

    Serre spectral sequence

    Serre_spectral_sequence

  • Klaus Hulek
  • German mathematician (born 1952)

    bundles, moving on to moduli spaces of abelian varieties, Enriques surfaces and K3 surfaces. His work contributed to the understanding of the geometry and

    Klaus Hulek

    Klaus Hulek

    Klaus_Hulek

  • Wess–Zumino–Witten model
  • Type of 2D conformal field theory

    algebra is an affine Lie algebra. For Σ {\displaystyle \Sigma } a Riemann surface, G {\displaystyle G} a Lie group, and k {\displaystyle k} a (generally

    Wess–Zumino–Witten model

    Wess–Zumino–Witten_model

  • Mathieu group M24
  • Sporadic simple group

    theory of umbral moonshine is a partly conjectural relationship between K3 surfaces and M24. The Conway group Co1, the Fischer group Fi24, and the Janko

    Mathieu group M24

    Mathieu group M24

    Mathieu_group_M24

  • Dilaton
  • Hypothetical particle

    manifold Ricci-flat manifold Calabi–Yau manifold Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold

    Dilaton

    Dilaton

  • 4-manifold
  • Mathematical space

    smooth structure: the manifold is homeomorphic to a connected sum of n K3 surfaces and m − 3n copies of S2×S2. For m ≤ 2n (so the dimension is ≤ 10/8 |signature|)

    4-manifold

    4-manifold

  • Paul S. Aspinwall
  • British physicist and mathematician

    Aspinwall, Paul S.; Gross, Mark (1996). "The SO(32) heterotic string on a K3 surface". Physics Letters B. 387 (4). Elsevier BV: 735–742. arXiv:hep-th/9605131

    Paul S. Aspinwall

    Paul_S._Aspinwall

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K3 SURFACE

  • HÉLDER
  • Male

    Portuguese

    HÉLDER

    Portuguese name derived from the name of a Dutch town, from Middle Dutch helldinge, HÉLDER means "slanting surface."

    HÉLDER

  • Tessler
  • Surname or Lastname

    Jewish (Ashkenazic)

    Tessler

    Jewish (Ashkenazic) : occupational name from Yiddish tesler ‘carpenter’. Compare Tesler.German : variant of Teschner.English : from an agent derivative of Old English tǣsel ‘teasel’, hence an occupational name for someone whose job was to brush the surface of newly-woven cloth or to card wood preparatory to spinning, using the dry seed-heads of teasels (a kind of thistle).

    Tessler

  • Hirav
  • Boy/Male

    Hindu

    Hirav

    Means greenery. the lush greenery on the surface of the earth

    Hirav

  • Ilanko
  • Boy/Male

    Indian, Sanskrit

    Ilanko

    Surface of the Earth

    Ilanko

  • POSY
  • Female

    English

    POSY

      English name derived from the flower name which originally meant "a line of verse engraved on the inner surface of a ring," but later acquired the POSY means "bouquet, flower." Pet form of English Josephine, meaning "(God) shall add (another son)." 

    POSY

  • ÉLDER
  • Male

    Portuguese

    ÉLDER

    Variant spelling of Portuguese Hélder, ÉLDER means "slanting surface."

    ÉLDER

  • Helder
  • Boy/Male

    Australian, Chinese, Dutch, Portuguese

    Helder

    Silver Voice; Hell's Door; Slanting Surface

    Helder

  • Sherman
  • Surname or Lastname

    English

    Sherman

    English : occupational name for a sheepshearer or someone who used shears to trim the surface of finished cloth and remove excess nap, from Middle English shereman ‘shearer’.Americanized spelling of German Schuermann.Jewish (Ashkenazic) : occupational name for a tailor, from Yiddish sher ‘scissors’ + man ‘man’.Roger Sherman (1722–93), the only man to sign all three documents at the foundation of the American republic (the Declaration of Independence, the Articles of Confederation, and the U.S. Constitution), was born in Newton, MA, a descendant of Capt. John Sherman, who had emigrated in about 1636 to MA from Dedham, Essex, England, where his father was a farmer, following his brother Edmund, who had emigrated two years earlier. A descendant of Edmund Sherman was the U.S. general William Tecumseh Sherman (1820–91), who led the Union march through GA. He was born in Lancaster, OH, the son of a judge; his middle name was bestowed in honor of a Shawnee chieftain.

    Sherman

  • Helder
  • Surname or Lastname

    Dutch and German

    Helder

    Dutch and German : from a Germanic personal name, Halidher, composed of the elements halið ‘hero’ + hari, heri ‘army’, or from another personal name, Hildher, composed of the elements hild ‘strife’, ‘battle’ + the same second element.Dutch and North German : topographic name for someone living on a slope, from Middle Dutch helldinge ‘slanting surface’. Compare Halder.English : from an agent derivative of Old English healdan ‘to hold’, hence a name denoting an occupier or tenant. Compare Holder.English : variant of Hilder.English : possibly a variant of Elder, with the addition of an inorganic initial H-.

    Helder

  • Hirav | ஹிரவ
  • Boy/Male

    Tamil

    Hirav | ஹிரவ

    Means greenery. the lush greenery on the surface of the earth

    Hirav | ஹிரவ

  • Setter
  • Surname or Lastname

    English

    Setter

    English : occupational name for a stone- or bricklayer, from Middle English setter ‘one who lays stones or bricks in building’ (agent derivative of setten ‘to set’).English : occupational name from Old French saietier ‘silk weaver’ (an agent derivative of sayete, a kind of silk).English : from an agent derivative of Middle English setten ‘to place (decoration, on a garment or metal surface)’, probably an occupational name for an embroiderer.German : unexplained.Norwegian : unexplained.

    Setter

  • Dimple
  • Girl/Female

    American, Assamese, British, Celebrity, English, Gujarati, Hindu, Indian, Kannada, Malayalam, Sindhi, Telugu

    Dimple

    A Small; Natural Hollow on the Surface of the Body; Happy; Dimples

    Dimple

  • Hirav
  • Boy/Male

    Hindu, Indian

    Hirav

    Greenery; The Lush Greenery on the Surface of the Earth

    Hirav

  • Paolo
  • Boy/Male

    Australian, French, German, Italian, Latin, Portuguese, Swiss

    Paolo

    Italian Form of Paul; Small; Slanting Surface; Clear

    Paolo

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Online names & meanings

  • Abul
  • Boy/Male

    Arabic

    Abul

    Servant of Allah

  • Parveen
  • Girl/Female

    Afghan, African, Arabic, Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Pashtun, Sindhi, Telugu

    Parveen

    Star; Collective Shining Stars; Palisades; Cluster of Stars; The Pleiades; Pleasing; Loved; Pleiades; Noble

  • ABAIGAEL
  • Female

    English

    ABAIGAEL

    Variant spelling of English Abigail, ABAIGAEL means "father rejoices."

  • Gurpratap
  • Boy/Male

    Hindu, Indian, Traditional

    Gurpratap

    Friend of the Guru

  • Mujazziz |
  • Boy/Male

    Muslim

    Mujazziz |

    Name of a companion

  • Gorman
  • Boy/Male

    Irish Gaelic

    Gorman

    Blue.

  • Anupam | அநுபம
  • Boy/Male

    Tamil

    Anupam | அநுபம

    Incomparable, Precious, Unique

  • Vadivel
  • Boy/Male

    Bengali, Hindu, Indian, Kannada, Tamil

    Vadivel

    Another Name for God Murugan

  • PAWEŁ
  • Male

    Polish

    PAWEŁ

    Polish form of Greek Paulos, PAWEŁ means "small."

  • Kushalin
  • Boy/Male

    Indian, Sanskrit

    Kushalin

    Having Skillfulness or Happiness

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Other words and meanings similar to

K3 SURFACE

AI search in online dictionary sources & meanings containing K3 SURFACE

K3 SURFACE

  • Surface
  • v. t.

    To work over the surface or soil of, as ground, in hunting for gold.

  • Venturine
  • n.

    Gold powder for covering varnished surfaces.

  • Wale
  • n.

    A ridge or streak rising above the surface, as of cloth; hence, the texture of cloth.

  • Ventral
  • a.

    Of or pertaining to the lower side or surface of a creeping moss or other low flowerless plant. Opposed to dorsal.

  • Varnish
  • n.

    To lay varnish on; to cover with a liquid which produces, when dry, a hard, glossy surface; as, to varnish a table; to varnish a painting.

  • Varnish
  • n.

    A viscid liquid, consisting of a solution of resinous matter in an oil or a volatile liquid, laid on work with a brush, or otherwise. When applied the varnish soon dries, either by evaporation or chemical action, and the resinous part forms thus a smooth, hard surface, with a beautiful gloss, capable of resisting, to a greater or less degree, the influences of air and moisture.

  • Vernicose
  • a.

    Having a brilliantly polished surface, as some leaves.

  • Velutinous
  • a.

    Having the surface covered with a fine and dense silky pubescence; velvety; as, a velutinous leaf.

  • Vesicle
  • n.

    A small bladderlike body in the substance of vegetable, or upon the surface of a leaf.

  • Surfaced
  • imp. & p. p.

    of Surface

  • Vermeil
  • n.

    A liquid composition applied to a gilded surface to give luster to the gold.

  • Surfacer
  • n.

    A form of machine for dressing the surface of wood, metal, stone, etc.

  • Vesicle
  • n.

    A small convex hollow prominence on the surface of a shell or a coral.

  • Venter
  • n.

    A belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.

  • Villus
  • n.

    One of the minute papillary processes on certain vascular membranes; a villosity; as, villi cover the lining of the small intestines of many animals and serve to increase the absorbing surface.

  • Surface
  • v. t.

    To give a surface to; especially, to cause to have a smooth or plain surface; to make smooth or plain.

  • Vane
  • n.

    Any flat, extended surface attached to an axis and moved by the wind; as, the vane of a windmill; hence, a similar fixture of any form moved in or by water, air, or other fluid; as, the vane of a screw propeller, a fan blower, an anemometer, etc.

  • Ventral
  • a.

    Of or pertaining to that surface of a carpel, petal, etc., which faces toward the center of a flower.

  • Surface
  • n.

    The exterior part of anything that has length and breadth; one of the limits that bound a solid, esp. the upper face; superficies; the outside; as, the surface of the earth; the surface of a diamond; the surface of the body.

  • Surface
  • n.

    A magnitude that has length and breadth without thickness; superficies; as, a plane surface; a spherical surface.