Vector Supersymmetry of 2D Yang-Mills Theory

TL;DR

This paper extends the concept of vector supersymmetry from the 2D topological BF model to 2D Yang-Mills theory and analyzes its impact on the theory's ultraviolet properties.

Contribution

It introduces a novel extension of vector supersymmetry to 2D Yang-Mills and explores its implications for the theory's ultraviolet behavior.

Findings

Vector supersymmetry is successfully extended to 2D Yang-Mills.

Ward identities derived from this symmetry influence the ultraviolet behavior.

The analysis provides insights into the renormalization properties of 2D Yang-Mills.

Abstract

The vector supersymmetry of the 2D topological BF model is extended to 2D Yang-Mills. The consequences of the corresponding Ward identity on the ultraviolet behavior of the theory are analyzed.