Supersymmetry algebra cohomology I: Definition and general structure

Abstract

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.

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

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