Geometric Quantization of Topological Gauge Theories

TL;DR

This paper explores the geometric quantization of Abelian gauge theories in 2+1 dimensions, focusing on the effects of adding a topological Chern-Simons term on the symplectic structure.

Contribution

It introduces a novel approach to quantizing topological gauge theories using geometric methods, highlighting the role of the Chern-Simons term.

Findings

Chern-Simons term modifies the symplectic structure

Provides a geometric framework for topological gauge theories

Enhances understanding of quantization in lower-dimensional gauge models

Abstract

We study the symplectic quantization of Abelian gauge theories in $2+1$ space-time dimensions with the introduction of a topological Chern-Simons term.