Localization of gauge fields and Maxwell-Chern-Simons theory

TL;DR

This paper presents a model where an axionic domain wall localizes a U(1) gauge field, resulting in a 2+1D Maxwell-Chern-Simons theory that reflects the properties of the higher-dimensional gauge dynamics.

Contribution

It introduces an explicit mechanism for localizing gauge fields on a domain wall, connecting 3+1D gauge theories with 2+1D Maxwell-Chern-Simons theory, and offers insights into branes in supersymmetric gluodynamics.

Findings

Effective 2+1D MCS theory derived from 3+1D gauge dynamics

Demonstrates localization of U(1) gauge fields on a domain wall

Provides a framework to understand properties of MCS theory via higher-dimensional theories

Abstract

We propose an explicit model, where an axionic domain wall dynamically localizes a U(1)-component of a nonabelian gauge theory living in a 3+1 dimensional bulk. The effective theory on the wall is 2+1d Maxwell-Chern-Simons theory with a compact U(1) gauge group. This setup allows us to understand all key properties of MCS theory in terms of the dynamics of the underlying 3+1 dimensional gauge theory. Our findings can also shed some light on branes in supersymmetric gluodynamics.