Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

Details Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

2005-02-28

arxiv.org/abs/hep-th/0502244v1

Eur.Phys.J.C45:227-240,2006

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, Latex

Scientific paper

10.1140/epjc/s2005-02382-x

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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