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Branch of mathematical physics
Supermathematics is the branch of mathematical physics which applies the mathematics of Lie superalgebras to the behaviour of bosons and fermions. The
Supermathematics
Symmetry between bosons and fermions
Oxford University Press. ISBN 978-0-19-856763-9. Wegner, Franz (2016). Supermathematics and its Applications in Statistical Physics. Switzerland: Springer
Supersymmetry
Anticommutating number
mathematics. The analogy does not stop there: one has an entire branch of supermathematics, where the analog of Euclidean space is superspace, the analog of a
Grassmann_number
No-go theorem pertaining the triviality of space-time and internal symmetries
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Coleman–Mandula_theorem
Theory of strings with supersymmetry
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Superstring_theory
Minimal supergravity in four dimensions
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Pure_4D_N_=_1_supergravity
Theory of supersymmetry in four dimensions
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
4D_N_=_1_global_supersymmetry
Ten-dimensional supergravity
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Type_IIB_supergravity
Ten-dimensional supergravity
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Type_I_supergravity
Russian mathematician
ed. (2007). Felix Berezin, The Life and Death of the Mastermind of Supermathematics. Singapore: World Scientific. ISBN 978-981-270-532-7. Archived from
Felix_Berezin
Graded vector space with applications to theoretical physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Super_vector_space
Supergravity in eleven dimensions
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Eleven-dimensional supergravity
Eleven-dimensional_supergravity
Superconformal Yang–Mills theory
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
N = 4 supersymmetric Yang–Mills theory
N_=_4_supersymmetric_Yang–Mills_theory
Ten-dimensional supergravity
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Type_IIA_supergravity
Theorem in theoretical physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Haag–Łopuszański–Sohnius theorem
Haag–Łopuszański–Sohnius_theorem
Supersymmetric generalization of the Poincaré algebra
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Super-Poincaré_algebra
Gauge theory with supersymmetry
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supersymmetric_gauge_theory
Theory in supersymmetric gauge theory
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Seiberg–Witten_theory
Supersymmetric generalization of Yang–Mills
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
N = 1 supersymmetric Yang–Mills theory
N_=_1_supersymmetric_Yang–Mills_theory
Theory of supergravity in four dimensions
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
4D_N_=_1_supergravity
Predicted field theory in physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
6D (2,0) superconformal field theory
6D_(2,0)_superconformal_field_theory
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
List of quantum field theories
List_of_quantum_field_theories
ed. (2007). Felix Berezin, The Life and Death of the Mastermind of Supermathematics. Singapore: World Scientific. ISBN 978-981-270-532-7. Archived from
List_of_Jewish_mathematicians
Modern theory of gravitation that combines supersymmetry and general relativity
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supergravity
American physicist
ed. (2007). Felix Berezin, The Life and Death of the Mastermind of Supermathematics. Singapore: World Scientific. ISBN 978-981270-532-7. Shifman, M.; Yung
Mikhail_Shifman
Extension to the MSSM solving the mu-problem
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Next-to-Minimal Supersymmetric Standard Model
Next-to-Minimal_Supersymmetric_Standard_Model
Differential geometry of supermanifolds
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supergeometry
Representation of the supersymmetry algebra
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supermultiplet
Supergeometric generalization of a manifold
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supermanifold
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supersymmetry_algebra
Strong-weak duality in supersymmetric theories of theoretical physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Montonen–Olive_duality
Supersymmetric generalization of quantum chromodynamics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Super_QCD
General relativity in M-theory
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Higher-dimensional supergravity
Higher-dimensional_supergravity
Quantum mechanics with supersymmetry
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supersymmetric quantum mechanics
Supersymmetric_quantum_mechanics
Simplest supersymmetric extension to the Standard Model
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Minimal Supersymmetric Standard Model
Minimal_Supersymmetric_Standard_Model
Superconformal quantum field theory
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
ABJM superconformal field theory
ABJM_superconformal_field_theory
Type of supersymmetric quantum field theory
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Wess–Zumino_model
Algebraic structure used in theoretical physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Superalgebra
Super vector space forming base superspace for supersymmetric field theories
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Super_Minkowski_space
Algebra combining both supersymmetry and conformal symmetry
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Superconformal_algebra
Algebraic structure used in theoretical physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Lie_superalgebra
Algebraic structure used in theoretical physics
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Supergroup_(physics)
Base space for supersymmetric theories
mechanics Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal
Superspace
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