Supersymmetry algebra cohomology I: Definition and general structure
classification
✦ hep-th
keywords
supersymmetrycohomologyalgebraalgebrasgeneratorsbosonicbrst-typecoboundary
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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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