Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra

M. V. Movshev; A. Schwarz; Renjun Xu

doi:10.1016/j.nuclphysb.2011.08.023

Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra

M. V. Movshev
, A. Schwarz
, Renjun Xu

Mathematics

University of California at Davis

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We study the homology and cohomology groups of super Lie algebras of supersymmetries and of super Poincaré Lie algebras in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions ≤11. For dimensions D=10,11 we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry Lie algebras.

Original language	English
Pages (from-to)	483-503
Number of pages	21
Journal	Nuclear Physics, Section B
Volume	854
Issue number	2
DOIs	https://doi.org/10.1016/j.nuclphysb.2011.08.023
State	Published - Jan 11 2012

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10.1016/j.nuclphysb.2011.08.023

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title = "Homology of Lie algebra of supersymmetries and of super Poincar{\'e} Lie algebra",

abstract = "We study the homology and cohomology groups of super Lie algebras of supersymmetries and of super Poincar{\'e} Lie algebras in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions ≤11. For dimensions D=10,11 we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry Lie algebras.",

author = "Movshev, \{M. V.\} and A. Schwarz and Renjun Xu",

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AU - Movshev, M. V.

AU - Schwarz, A.

AU - Xu, Renjun

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N2 - We study the homology and cohomology groups of super Lie algebras of supersymmetries and of super Poincaré Lie algebras in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions ≤11. For dimensions D=10,11 we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry Lie algebras.

AB - We study the homology and cohomology groups of super Lie algebras of supersymmetries and of super Poincaré Lie algebras in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions ≤11. For dimensions D=10,11 we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry Lie algebras.

UR - https://www.scopus.com/pages/publications/80053600384

U2 - 10.1016/j.nuclphysb.2011.08.023

DO - 10.1016/j.nuclphysb.2011.08.023

M3 - Article

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VL - 854

SP - 483

EP - 503

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2

ER -

Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra

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