Supersymmetry algebra cohomology I: Definition and general structure

Details Supersymmetry algebra cohomology I: Definition and general structure Supersymmetry algebra cohomology I: Definition and general structure

2009-11-11

arxiv.org/abs/0911.2118v5

J.Math.Phys.51:122302,2010

Physics

High Energy Physics

High Energy Physics - Theory

v5: matches published version; 3 refs., section 5.5 and remarks/comments in sections 1, 2.8, 3 and 7 added; minor editorial

Scientific paper

10.1063/1.3515844

The paper concerns standard supersymmetry algebras in diverse dimensions, involving bosonic translational generators and fermionic supersymmetry generators. A cohomology related to these supersymmetry algebras, termed supersymmetry algebra cohomology, and corresponding "primitive elements" are defined by means of a BRST-type coboundary operator. A method to systematically compute this cohomology is outlined and illustrated by simple examples.

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