English

Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

High Energy Physics - Theory 2009-01-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0502244,
  title  = {Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry},
  author = {Clisthenis P. Constantinidis and Olivier Piguet and Wesley Spalenza},
  journal= {arXiv preprint arXiv:hep-th/0502244},
  year   = {2009}
}

Comments

27 pages, Latex