Superdiffeomorphisms of the Topological Yang-Mills and Renormalization

TL;DR

This paper explores the superdiffeomorphism symmetries of four-dimensional topological Yang-Mills theory on curved manifolds and analyzes its ultraviolet renormalization, providing explicit counterterms.

Contribution

It introduces the superdiffeomorphism transformations for topological Yang-Mills theory and details the explicit form of the most general counterterm for renormalization.

Findings

Superdiffeomorphism transformations are explicitly derived.

The structure of the ultraviolet counterterms is characterized.

Renormalization properties of the theory are analyzed in curved spacetime.

Abstract

We give the superdiffeomorphisms transformations of the four-dimensional topological Yang-Mills theory in curved manifold and we discuss the ultraviolet renormalization of the model. The explicit expression of the most general counterterm is given.