Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

Constantinidis, Clisthenis P.; Piguet, Olivier; Spalenza, Wesley

Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

Authors

Constantinidis, Clisthenis P.

Piguet, Olivier

Spalenza, Wesley

Description

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.
27 pages, Latex