TL;DR
This paper explores how BRST cohomology methods extend to supersymmetric field theories, highlighting the emergence of supersymmetry algebra cohomology regardless of off-shell closure of the symmetry algebra.
Contribution
It demonstrates that supersymmetry algebra cohomology naturally appears in the cohomological analysis of supersymmetric theories, independent of off-shell closure.
Findings
Supersymmetry algebra cohomology emerges in standard supersymmetric theories.
The emergence occurs regardless of off-shell closure of the symmetry algebra.
The paper extends BRST cohomological methods to supersymmetric contexts.
Abstract
The application and extension of well-known BRST cohomological methods to supersymmetric field theories are discussed. The focus is on the emergence and particular features of supersymmetry algebra cohomology in this context. In particular it is discussed and demonstrated that supersymmetry algebra cohomology emerges within the cohomological analysis of standard supersymmetric field theories whether or not the commutator algebra of the symmetry transformations closes off-shell.
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