Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension

TL;DR

This paper proves the perturbative finiteness of massive topological QCD with central charges using algebraic BRST techniques, ensuring its renormalizability and trivial BRST cohomology.

Contribution

It introduces a novel algebraic approach to establish the renormalizability of massive topological QCD with central charges, including the effects of the full topological superalgebra.

Findings

Matter action of topological QCD is perturbatively finite.

BRST cohomology remains trivial with central charges.

Renormalizability is proven using algebraic techniques.

Abstract

We study the renormalizability of (massive) topological QCD based on the algebraic BRST technique by adopting a non-covariant Landau type gauge and making use of the full topological superalgebra. The most general local counter terms are determined and it is shown that in the presence of central charges the BRST cohomology remains trivial. By imposing an additional set of stability constraints it is proven that the matter action of topological QCD is perturbatively finite.