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Differential geometry of supermanifolds
Supergeometry is differential geometry of modules over graded commutative algebras, supermanifolds and graded manifolds. Supergeometry is part and parcel
Supergeometry
Algebraic structure used in theoretical physics
algebra. Superalgebras also play an important role in related field of supergeometry where they enter into the definitions of graded manifolds, supermanifolds
Superalgebra
Symmetry between bosons and fermions
Model Quantum group Split supersymmetry Supercharge Supermultiplet Supergeometry Supergravity Supergroup Superpartner Superspace Supersplit supersymmetry
Supersymmetry
Supermetric is a mathematical concept used in a number of fields in physics. Supergeometry Supergravity Super Minkowski space Gauge gravitation theory Connor,
Supermetric
Supergeometric generalization of a manifold
body or reduced manifold. Supermanifolds provide the basic objects of supergeometry. They were introduced in connection with supersymmetry and are used
Supermanifold
Pakistani theoretical physicist (1926–1996)
as a geometrical framework for understanding supersymmetry, in 1974; Supergeometry, the geometric basis for supersymmetry, in 1974; application of the
Abdus_Salam
Minimal supergravity in four dimensions
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Pure_4D_N_=_1_supergravity
Type of supersymmetric quantum field theory
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Wess–Zumino_model
Branch of mathematical physics
algebra), superschemes, supermetrics/supersymmetry, supermanifolds, supergeometry, and supergravity, namely in the context of superstring theory. "The
Supermathematics
Theory of supersymmetry in four dimensions
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
4D_N_=_1_global_supersymmetry
No-go theorem pertaining the triviality of space-time and internal symmetries
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Coleman–Mandula_theorem
Theory of strings with supersymmetry
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Superstring_theory
Conformal field theory with logarithmic short distance behavior
Schomerus, Volker; Saleur, Hubert (2006). "The GL(1 - 1) WZW model: From Supergeometry to Logarithmic CFT". Nucl. Phys. B. 734 (3): 221–245. arXiv:hep-th/0510032
Logarithmic conformal field theory
Logarithmic_conformal_field_theory
Ten-dimensional supergravity
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Type_I_supergravity
General relativity in M-theory
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Higher-dimensional supergravity
Higher-dimensional_supergravity
Manifold with supersymmetry structure
Connection (algebraic framework) Graded (mathematics) Serre–Swan theorem Supergeometry Supermanifold Supersymmetry C. Bartocci, U. Bruzzo, D. Hernandez Ruiperez
Graded_manifold
Geometry of quantum systems (e.g., noncommutative geometry and supergeometry) is mainly phrased in algebraic terms of modules and algebras. Connections
Connection (algebraic framework)
Connection_(algebraic_framework)
Graded vector space with applications to theoretical physics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Super_vector_space
Supergravity in eleven dimensions
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Eleven-dimensional supergravity
Eleven-dimensional_supergravity
Theorem in theoretical physics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Haag–Łopuszański–Sohnius theorem
Haag–Łopuszański–Sohnius_theorem
Superconformal Yang–Mills theory
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
N = 4 supersymmetric Yang–Mills theory
N_=_4_supersymmetric_Yang–Mills_theory
Ten-dimensional supergravity
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Type_IIA_supergravity
Supersymmetric generalization of the Poincaré algebra
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Super-Poincaré_algebra
Ten-dimensional supergravity
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Type_IIB_supergravity
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Supersymmetry_algebra
Gauge theory with supersymmetry
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Supersymmetric_gauge_theory
Theory in supersymmetric gauge theory
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Seiberg–Witten_theory
Type of 2D conformal field theory
247: 83-103. V. Schomerus, H. Saleur, "The GL(1|1) WZW model: From supergeometry to logarithmic CFT", arxiv:hep-th/0510032 G. Gotz, T. Quella, V. Schomerus
Wess–Zumino–Witten_model
Algebraic structure used in theoretical physics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Supergroup_(physics)
Theory of supergravity in four dimensions
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
4D_N_=_1_supergravity
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
List of quantum field theories
List_of_quantum_field_theories
Predicted field theory in physics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
6D (2,0) superconformal field theory
6D_(2,0)_superconformal_field_theory
Modern theory of gravitation that combines supersymmetry and general relativity
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Supergravity
Supersymmetric generalization of Yang–Mills
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
N = 1 supersymmetric Yang–Mills theory
N_=_1_supersymmetric_Yang–Mills_theory
Supersymmetric generalization of quantum chromodynamics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Super_QCD
Algebra combining both supersymmetry and conformal symmetry
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Superconformal_algebra
Strong-weak duality in supersymmetric theories of theoretical physics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Montonen–Olive_duality
Extension to the MSSM solving the mu-problem
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Next-to-Minimal Supersymmetric Standard Model
Next-to-Minimal_Supersymmetric_Standard_Model
Representation of the supersymmetry algebra
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Supermultiplet
Quantum mechanics with supersymmetry
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Supersymmetric quantum mechanics
Supersymmetric_quantum_mechanics
Simplest supersymmetric extension to the Standard Model
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Minimal Supersymmetric Standard Model
Minimal_Supersymmetric_Standard_Model
Superconformal quantum field theory
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
ABJM superconformal field theory
ABJM_superconformal_field_theory
Super vector space forming base superspace for supersymmetric field theories
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Super_Minkowski_space
Algebraic structure used in theoretical physics
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Lie_superalgebra
Base space for supersymmetric theories
quantum mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra
Superspace
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