Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra

Details Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra

2011-06-01

arxiv.org/abs/1106.0335v3

Physics

High Energy Physics

High Energy Physics - Theory

New version with some additions and corrections

Scientific paper

We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions $\leq 11$. 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 algebra.

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