Homology of Lie algebra of supersymmetries and of super Poincaré Lie algebra
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 (nonextended) 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.
 Publication:

Nuclear Physics B
 Pub Date:
 January 2012
 DOI:
 10.1016/j.nuclphysb.2011.08.023
 arXiv:
 arXiv:1106.0335
 Bibcode:
 2012NuPhB.854..483M
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Rings and Algebras
 EPrint:
 New version with some additions and corrections