A Renormalized Supersymmetry in the Topological Yang-Mills Field Theory

TL;DR

This paper enhances the understanding of topological Yang-Mills theory by employing vector supersymmetry to improve renormalization properties and demonstrate the triviality of counterterms.

Contribution

It introduces a renormalized supersymmetry framework in topological Yang-Mills theory using vector supersymmetry Ward identities.

Findings

Vector supersymmetry improves finiteness properties.

The most general counterterm is a trivial BRS-coboundary.

The approach applies to several topological theories.

Abstract

We reconsider the algebraic BRS renormalization of Witten's topological Yang-Mills field theory by making use of a vector supersymmetry Ward identity which improves the finiteness properties of the model. The vector supersymmetric structure is a common feature of several topological theories. The most general local counterterm is determined and is shown to be a trivial BRS-coboundary.