Article ID Journal Published Year Pages File Type
1841115 Nuclear Physics B 2012 21 Pages PDF
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=10,11D=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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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