Anomalous Transport and Explicit Symmetry Breaking in Holography

TL;DR

This paper investigates how explicit symmetry breaking influences anomaly-induced transport phenomena in a holographic Einstein-Maxwell model with Chern-Simons terms, revealing extended effects beyond anomalous currents.

Contribution

It introduces a comprehensive holographic model with backreaction to analyze the interplay between quantum anomalies and explicit symmetry breaking, including full transport coefficient calculations.

Findings

Anomaly-induced transport can affect non-anomalous sectors under explicit symmetry breaking.

Transport coefficients depend on the symmetry-breaking mass parameter.

Explicit symmetry breaking modifies the behavior of anomaly-related transport phenomena.

Abstract

We consider a holographic Einstein-Maxwell model in five dimensions with pure gauge and mixed gauge-gravitational Chern-Simons terms to study anomaly-induced transport in the presence of explicit symmetry breaking. We include the full backreaction of the scalar field and gauge fields on the metric and compute the anomalous transport coefficients using Kubo formulae involving charge and energy current correlators. Our findings reveal that, in the presence of explicit symmetry breaking, anomaly-induced transport phenomena can extend beyond anomalous currents and affect the non-anomalous sector as well. The transport coefficients exhibit a clear dependence on the symmetry-breaking mass parameter, highlighting the interplay between quantum anomalies and explicit symmetry breaking in holographic systems.