Field Anti-Field Duality, p-Form Gauge Fields and Topological Field Theories

TL;DR

This paper develops a unified framework for dual pairs of fields and anti-fields in gauge theories, leading to new topological models with potential symmetry breaking, enhancing understanding of topological quantum field theories.

Contribution

It introduces a novel approach unifying fields and anti-fields in gauge theories, generating new topological models of Chern-Simons and Donaldson-Witten types.

Findings

Generated numerous topological models of Chern-Simons and Donaldson-Witten types.

Some models exhibit partial breaking of topological symmetries.

Framework unifies dual pairs of fields and anti-fields in gauge theories.

Abstract

We construct a framework which unifyies in dual pairs the fields and anti-fields of the Batalin and Vilkovisky quantization method. We consider gauge theories of p-forms coupled to Yang-Mills fields. Our algorithm generates many topological models of the Chern-Simon type or of the Donaldson-Witten type. Some of these models can undergo a partial breaking of their topological symmetries.