Gauge Theory on a Four Sphere

TL;DR

This paper explores the quantization of gauge theory on a four-sphere using harmonic mode expansion and examines the BRST symmetry to understand its quantum properties.

Contribution

It introduces a method for quantizing gauge theories on a four-sphere through harmonic mode expansion and analyzes the associated BRST symmetry.

Findings

Quantization achieved via harmonic mode expansion.

BRST symmetry analyzed in the context of four-sphere gauge theory.

Provides groundwork for further studies on gauge theories in curved spaces.

Abstract

In this paper we will analyze the quantization of a gauge theory on a four sphere. This will be done by mode expanding all the fields in the theory in terms of harmonic modes. We will also analyse the BRST symmetry of this theory.