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Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

Clisthenis P. Constantinidis·Olivier Piguet·Wesley Spalenza
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Abstract

We present a complete classification, at the classical level, of the observables of topological Yang-Mills theories with an extended shift supersymmetry of N generators, in any space-time dimension. The observables are defined as the Yang-Mills BRST cohomology classes of shift supersymmetry invariants. These cohomology classes turn out to be solutions of an N-extension of Witten's equivariant cohomology. This work generalizes results known in the case of shift supersymmetry with a single generator.

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Clisthenis P. Constantinidis, Olivier Piguet, Wesley Spalenza. 2005-02-28. Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry. https://doi.org/10.1140/epjc%2Fs2005-02382-x

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