Topological Yang-Mills Theories and Their Observables: a Superspace Approach

TL;DR

This paper reformulates topological Yang-Mills theories using a superspace approach, deriving Witten's observables as BRST cohomology classes, providing a new perspective on their mathematical structure.

Contribution

It introduces a superspace formulation of topological Yang-Mills theories, connecting Witten's observables to BRST cohomology in a novel way.

Findings

Witten's observables are derived as BRST cohomology classes.

Superspace formulation offers a new perspective on topological Yang-Mills theories.

The approach unifies equivariant cohomology with superspace methods.

Abstract

Witten's observables of topological Yang-Mills theory, defined as classes of an equivariant cohomology, are reobtained as the BRST cohomology classes of a superspace version of the theory.