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Algebra describing 2D conformal symmetry
In mathematics, the Virasoro algebra is a complex Lie algebra and the unique nontrivial central extension of the Witt algebra. It is widely used in two-dimensional
Virasoro_algebra
Supersymmetric extension to the Virasoro algebra
mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra (named after Miguel Ángel Virasoro) to a Lie superalgebra. There
Super_Virasoro_algebra
Argentine physicist (1940–2021)
Virasoro–Shapiro amplitude, the Virasoro algebra, the super Virasoro algebra, the Virasoro vertex operator algebra, the Virasoro group, the Virasoro conjecture
Miguel Ángel Virasoro (physicist)
Miguel_Ángel_Virasoro_(physicist)
Topics referred to by the same term
Virasoro can refer to: Miguel Ángel Virasoro (philosopher) (1900–1966) Miguel Ángel Virasoro (physicist) (1940–2021) Gobernador Virasoro, a city in Argentina
Virasoro
Algebra used in 2D conformal field theories and string theory
the Virasoro algebra, and satisfy a bounded-below property with respect to an energy operator. Motivated by this observation, they added the Virasoro action
Vertex_operator_algebra
an action of half of the Virasoro algebra. The Virasoro conjecture is named after theoretical physicist Miguel Ángel Virasoro. Tohru Eguchi, Kentaro Hori
Virasoro_conjecture
Special functions used to build correlation functions in 2D CFTs
In two-dimensional conformal field theory, Virasoro conformal blocks (named after Miguel Ángel Virasoro) are special functions that serve as building blocks
Virasoro_conformal_block
Family of solved 2D conformal field theories
In theoretical physics, a minimal model or Virasoro minimal model is a two-dimensional conformal field theory whose spectrum is built from finitely many
Minimal_model_(physics)
City in Corrientes, Argentina
Gobernador Virasoro (formally Gobernador Ingeniero Valentín Virasoro) is a city in Argentina in the province of Corrientes, located in the "Argentine
Gobernador_Virasoro
Abstract mathematical group
In abstract algebra, the Virasoro group or Bott–Virasoro group (often denoted by Vir) is an infinite-dimensional Lie group defined as the universal central
Virasoro_group
Conformal field theory on a 2D spacetime
representation of the left Virasoro algebra, and R ¯ {\displaystyle {\bar {R}}} is the same representation of the right Virasoro algebra. The CFT is called
Two-dimensional conformal field theory
Two-dimensional_conformal_field_theory
Argentine philosopher (1900–1966)
Miguel Ángel Virasoro (1900–1966) was an Argentine philosopher. Born in Santa Fe, Argentina, in 1900, Virasoro graduated with a law degree from the University
Miguel Ángel Virasoro (philosopher)
Miguel_Ángel_Virasoro_(philosopher)
Quantum field theory enjoying conformal symmetry
to be centrally extended. The quantum symmetry algebra is therefore the Virasoro algebra, which depends on a number called the central charge. This central
Conformal_field_theory
Associative algebra generalizing the Virasoro algebra
representation theory, a W-algebra is an associative algebra that generalizes the Virasoro algebra. W-algebras were introduced by Alexander Zamolodchikov, and the
W-algebra
2D supersymmetric generalization to the conformal algebra
L n {\displaystyle L_{n}} generate a Lie subalgebra isomorphic to the Virasoro algebra. Together with the operators G r = G r + + G r − {\displaystyle
N_=_2_superconformal_algebra
Construction for Virasoro algebras
a method of constructing unitary highest weight representations of the Virasoro algebra, introduced by Peter Goddard, Adrian Kent and David Olive (1986)
Coset_construction
Two-dimensional conformal field theory
for all complex values of the central charge c {\displaystyle c} of its Virasoro symmetry algebra, but it is unitary only if c ∈ ( 1 , + ∞ ) , {\displaystyle
Liouville_field_theory
Theorem in string theory
(1992). Suppose that V {\displaystyle V} is a unitary representation of the Virasoro algebra V i r {\displaystyle \mathrm {Vir} } , so V {\displaystyle V} is
Goddard–Thorn_theorem
Type of Kac–Moody algebras
construction, the universal enveloping algebra of any affine Lie algebra has the Virasoro algebra as a subalgebra. This allows affine Lie algebras to serve as symmetry
Affine_Lie_algebra
recognized as closed strings by Miguel Virasoro and Joel A. Shapiro (their approach was dubbed the Shapiro–Virasoro model). In 1969, the Chan–Paton rules
History_of_string_theory
Monster and modular connection
Extremal CFTs, introduced by G. Höhn, are distinguished by a lack of Virasoro primary fields in low energy, and the moonshine module is one example.
Monstrous_moonshine
Tensor product decomposition rules in representation theory
two-dimensional conformal field theory where the relevant group is generated by the Virasoro algebra, the relevant representations are the conformal families associated
Fusion_rules
Topics referred to by the same term
Miguel Ángel Virasoro may refer to: Miguel Ángel Virasoro (philosopher) (1900–1966), Argentinian philosopher Miguel Ángel Virasoro (physicist) (1940–2021)
Miguel_Ángel_Virasoro
Principle in theoretical physics
that the asymptotic symmetry of 2+1 dimensional gravity gives rise to a Virasoro algebra, whose corresponding quantum theory is a 2-dimensional conformal
Holographic_principle
curves with marked points. It was first found as a consequence of the Virasoro conjecture by E. Getzler and R. Pandharipande (1998). Later, it was proven
Lambda_g_conjecture
Creating a "larger" Lie algebra from a smaller one, in one of several ways
algebra one may construct a current algebra in two spacetime dimensions. The Virasoro algebra is the universal central extension of the Witt algebra. Central
Lie_algebra_extension
Symmetry between bosons and fermions
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Supersymmetry
Algebra of meromorphic vector fields on the Riemann sphere
L_{n}]=(m-n)L_{m+n}.} This algebra has a central extension called the Virasoro algebra that is important in two-dimensional conformal field theory and
Witt_algebra
Russian mathematician
simple Lie superalgebras, and found the Kac determinant formula for the Virasoro algebra. He is also known for the Kac–Weisfeiler conjectures with Boris
Victor_Kac
Class of conformal field theories
action of its chiral algebra. Chiral algebras can be much larger than the Virasoro algebra. Well-known examples include (the enveloping algebra of) affine
Rational conformal field theory
Rational_conformal_field_theory
Two dimensional conformal field theory
be the simplest minimal model with a non-diagonal partition function in Virasoro characters, as well as the simplest non-trivial CFT with the W-algebra
Critical three-state Potts model
Critical_three-state_Potts_model
Compact astronomical body
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Black_hole
Physicist
University Thesis Non-perturbative approache to 2D-supergravity and super Virasoro constraints (1994) Doctoral advisor Werner Nahm, Luis Alvarez-Gaume
Melanie_Becker
Theory of subatomic structure
self-consistency condition, the lightest particle must be a tachyon. Miguel Virasoro and Joel Shapiro found a different amplitude now understood to be that
String_theory
Type of metric space
Parisi, G; and Virasoro, M: SPIN GLASS THEORY AND BEYOND, World Scientific, 1986. ISBN 978-9971-5-0116-7 Rammal, R.; Toulouse, G.; Virasoro, M. (1986). "Ultrametricity
Ultrametric_space
Italian physicist (born 1948)
Wesley. ISBN 978-0201059854. Mézard, Marc; Giorgio Parisi; Miguel Angel Virasoro (1987). Spin glass theory and beyond. Singapore: World Scientific. ISBN 978-9971501150
Giorgio_Parisi
Conformal field theory of the 2D Ising model critical point
a two-dimensional conformal field theory whose symmetry algebra is the Virasoro algebra with the central charge c = 1 2 {\displaystyle c={\tfrac {1}{2}}}
Two-dimensional critical Ising model
Two-dimensional_critical_Ising_model
Mathematical method in statistical physics
mathematical method presented by Marc Mézard, Giorgio Parisi and Miguel Angel Virasoro in 1987 to derive and solve some mean field-type models in statistical
Cavity_method
Group that is also a differentiable manifold with group operations that are smooth
(more or less) the Witt algebra, whose central extension the Virasoro algebra (see Virasoro algebra from Witt algebra for a derivation of this fact) is
Lie_group
Process in particle physics
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Tachyon_condensation
Corrientes, Paso de los Libres. Low Goya, Curuzú Cuatiá, Mercedes, Gobernador Virasoro, Bella Vista. Entre Ríos High Concordia, Concepción del Uruguay, Victoria
Google Street View in Argentina
Google_Street_View_in_Argentina
American mathematician
first to discover the central extension of the Witt algebra that gives the Virasoro algebra, though his discovery went unnoticed for many years. With Robert
Richard_Earl_Block
Collection of possible string theory vacua
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
String_theory_landscape
2D conformal field theories
in the worldsheet approach to string theory. In a free bosonic CFT, the Virasoro algebra's central charge can take any complex value. However, the value
Massless free scalar bosons in two dimensions
Massless_free_scalar_bosons_in_two_dimensions
be deduced from the ELSV formula, including the Witten conjecture, the Virasoro constraints, and the λ g {\displaystyle \lambda _{g}} -conjecture. It is
ELSV_formula
Framework of superstring theory
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
M-theory
Argentine footballer
Miguel Alfredo Portillo (born September 26, 1982 in Gobernador Virasoro), nicknamed Pipo, is a football defender from Argentina who currently plays for
Miguel_Portillo
(Capital) Alvear Bella Vista Curuzú Cuatiá Empedrado Esquina Gobernador Virasoro Goya Itatí Ituzaingó Paso de los Libres Santo Tomé Saladas Santa Lucía
List_of_cities_in_Argentina
Argentine socialite executed in 1848
false names. Corrientes was at the time under the control of Benjamín Virasoro, a warlord hostile to Rosas. As the scandal broke, Adolfo O'Gorman sent
Camila_O'Gorman
26-dimensional string theory
four-point function for the scattering of four tachyons is the Shapiro-Virasoro amplitude: A 4 ∝ ( 2 π ) 26 δ 26 ( k ) Γ ( − 1 − s / 2 ) Γ ( − 1 − t /
Bosonic_string_theory
Football stadium in Rosario, Argentina
Rosas'). In 1907, the club moved to their current location on Rosas and Virasoro streets. As the club had a close relationship with the owners of Córdoba
Estadio_Gabino_Sosa
Type of Lie algebra of interest in physics
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Loop_algebra
Lower energy limit in string theory
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Bogomol'nyi–Prasad–Sommerfield bound
Bogomol'nyi–Prasad–Sommerfield_bound
Breakdown of conformal symmetry at the quantum level
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Conformal_anomaly
spruce and 30% pine. HS Timber Group has built a new sawmill in Gobernador Virasoro in Argentina in a joint venture with the Belgian company Forestcape. The
HS_Timber_Group
Transformation in quantum mechanics
technique can be further extended to the Witt algebra, which is the centerless Virasoro algebra. Spin wave Jordan–Wigner transformation Jordan–Schwinger transformation
Holstein–Primakoff transformation
Holstein–Primakoff_transformation
Theories in particle physics and cosmology
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Brane_cosmology
Indian physicist
been a Visiting Scholar at the Flatiron Institute since 2019, and Miguel Virasoro Visiting International Chair, at the International Centre for Theoretical
Subir_Sachdev
Type of 2D conformal field theory
{O}}(1),} which is equivalent to the Virasoro algebra's commutation relations. The central charge of the Virasoro algebra is given in terms of the level
Wess–Zumino–Witten_model
Lie superalgebra Lie supergroup Two-dimensional conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
List_of_string_theory_topics
Black brane solution in eleven-dimensional supergravity
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
M5-brane
American physicist
theory by inventing a fermionic string to accompany the bosonic ones. The Virasoro algebra which is the symmetry algebra of the bosonic string was generalized
Pierre_Ramond
Partial differential equations of correlation functions
Knizhnik–Zamolodchikov equations result from the Sugawara construction of the Virasoro algebra from the affine Lie algebra. More specifically, they result from
Knizhnik–Zamolodchikov equations
Knizhnik–Zamolodchikov_equations
Belgian theoretical physicist and professor
possesses a remarkable symmetry structure at infinity described by two Virasoro algebras. The corresponding central charge bears the name of "Brown–Henneaux
Marc_Henneaux
Physics property associated with symmetries
the supersymmetry. In conformal field theory: The central charge of the Virasoro algebra, sometimes referred to as the conformal central charge or the conformal
Charge_(physics)
Special functions in mathematics
{\displaystyle c=\infty } , where c {\displaystyle c} is the central charge of the Virasoro algebra. Conte, Robert (1999). Conte, Robert (ed.). The Painlevé Property
Painlevé_transcendents
2D conformal field theory used in string theory
second equation of motion motivates the definition of the Virasoro operators and lead to the Virasoro constraints that vanish when acting on physical states
Polyakov_action
the future governors, lieutenant colonels Joaquín Madariaga and Benjamín Virasoro. Paz awaited the attack in a seemingly weak position: his cavalry on the
Battle_of_Caaguazú
South African theoretical physicist (1928-2016)
Mandelstam continued to make crucial contributions. He interpreted the Virasoro algebra discovered in consistency conditions as a geometrical symmetry
Stanley_Mandelstam
Candidate "Theory of Everything"
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Introduction_to_M-theory
Base space for supersymmetric theories
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Superspace
number theory Ernst Kummer and Harry Vandiver Virasoro conjecture algebraic geometry Miguel Ángel Virasoro Vizing's conjecture graph theory Vadim G. Vizing
List_of_conjectures
Conjecture in algebraic geometry
L 0 , L 1 , … } {\displaystyle \{L_{-1},L_{0},L_{1},\ldots \}} of the Virasoro algebra. Kontsevich used a combinatorial description of the moduli spaces
Witten_conjecture
Japanese physicist
worked since the late 1960s in collaboration with Bunji Sakita, Miguel Virasoro and Michio Kaku. He was awarded the Nishina Memorial Prize in 1988. "Keiji
Keiji_Kikkawa
Equation in fluid dynamics
extension of D i f f ( S 1 ) {\displaystyle \mathrm {Diff} (S^{1})} , the Virasoro group. Degasperis–Procesi equation Hunter–Saxton equation Euler–Arnold
Camassa–Holm_equation
algebraic varieties and Galois representations on étale cohomology groups. Virasoro conjecture: a certain generating function encoding the Gromov–Witten invariants
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Seven-dimensional Riemannian manifold
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
G2_manifold
Italian theoretical physicist
among others, with Marco Ademollo (a professor in Florence) and Miguel Virasoro (an Argentinian physicist who later became a professor in Italy). During
Gabriele_Veneziano
Alvany Rocha, American specialist in Lie groups, computed characters of the Virasoro algebra Eliane R. Rodrigues, Brazilian-Mexican researcher on stochastic
List_of_women_in_mathematics
Esteban Martínez (1846-1909), Governor of Corrientes Gobernador Virasoro - Valentín Virasoro (1842-1925), a field engineer and former governor Goya, Argentina
List of places named after people
List_of_places_named_after_people
Theory of strings with supersymmetry
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Superstring_theory
Nonlinear differential operator used to study conformal mappings
central extension of Diff(S1) and of its Lie algebra Vect(S1), the so-called Virasoro algebra. The group Diff(S1) and its central extension also appear naturally
Schwarzian_derivative
Lie algebra, usually infinite-dimensional
ISBN 0-521-46693-8 [1] Antony Wassermann, Lecture notes on Kac–Moody and Virasoro algebras "Kac–Moody algebra", Encyclopedia of Mathematics, EMS Press, 2001
Kac–Moody_algebra
Branch of mathematics that studies algebraic structures
construction Octonions Sedenions Trigintaduonions Hyperbolic quaternions Virasoro algebra Algebraic structure Universal algebra Variety (universal algebra)
List of abstract algebra topics
List_of_abstract_algebra_topics
Conjectured duality combining S-duality and T-duality
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
U-duality
Object in six-dimensional spacetime
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
NS5-brane
Asymmetry of classical and quantum action
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Anomaly_(physics)
52-dimensional exceptional simple Lie group
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
F4_(mathematics)
Invariant action in bosonic string theory
{\displaystyle \rho } are Lagrange multipliers. The equations of motion satisfy the Virasoro constraints X ˙ 2 + X ′ 2 = 0 {\displaystyle {\dot {X}}^{2}+X'^{2}=0} and
Nambu–Goto_action
Extended physical object in string theory
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Brane
Aspect of theoretical physics
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Type_I_string_theory
Unified field theory
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Kaluza–Klein_theory
light, when not using units where this is 1. 2. A central charge of the Virasoro algebra or similar algebra. 3. One of the two conformal ghost fields b
Glossary_of_string_theory
Diagrams describing the matter content
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Quiver_diagram
Generalization of a Lie algebra
A simple and very important example of a Lie conformal algebra is the Virasoro conformal algebra. Over C [ ∂ ] {\displaystyle \mathbb {C} [\partial ]}
Lie_conformal_algebra
Schickendantz, naturalist Carlos Varsavsky, astrophysicist Miguel Angel Virasoro, physicist Juan Vucetich, inventor of the modern technique of fingerprinting
List_of_Argentines
Manifold with Riemannian, complex and symplectic structure
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Kähler_manifold
Aspect of theoretical physics
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Type_II_string_theory
Hypothetical particle
cosmology Quiver diagram Hanany–Witten transition Conformal field theory Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal
Dilaton
Infinite dimensional Lie algebra occurring in quantum field theory
tensor is expanded as a Laurent series, the resulting algebra is called the Virasoro algebra. This calculation is known as the Sugawara construction. The general
Current_algebra
VIRASORO
VIRASORO
VIRASORO
VIRASORO
VIRASORO
VIRASORO
VIRASORO
VIRASORO
VIRASORO