2005/02/28 by C. P. Constantinidis, Clisthenis P. Constantinidis, Olivier Piguet +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1140/epjc/s2005-02382-x
published as Eur.Phys.J.C45:227-240,2006 · 27 pages, Latex
arxiv created 2005/02/28 · openalex publication_date 2005/10/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.