Generalised Abelian Chern-Simons Theories and their Connection to Conformal Field Theories

TL;DR

This paper explores the generalization of Abelian Chern-Simons theories with theta angles and monopoles, and establishes a connection to two-dimensional conformal field theories, enriching the understanding of topological quantum field theories.

Contribution

It introduces a generalized framework for Abelian Chern-Simons theories incorporating theta angles and monopoles, linking them to conformal field theories in two dimensions.

Findings

Mapped sectors of 2D conformal field theories into 3D Chern-Simons theories.

Extended the theoretical understanding of topological phases with monopoles.

Provided a new perspective on the role of theta angles in gauge theories.

Abstract

We discuss the generalization of Abelian Chern-Simons theories when $\theta $-angles and magnetic monopoles are included. We map sectors of two dimensional Conformal Field Theories into these three dimensional theories.