Anomalous transport from geometry

TL;DR

This paper explores how black hole geometries influence chiral transport phenomena, deriving transport coefficients for thermal gases and charged black holes, including effects of magnetic fields, by integrating anomaly equations.

Contribution

It introduces a method to derive chiral transport coefficients from black hole geometries, extending previous approaches to include gauge anomalies and magnetic fields.

Findings

Derived chiral magnetic and vortical transport coefficients.

Extended anomaly integration method to charged black holes.

Included effects of weak magnetic fields in transport calculations.

Abstract

We revisit the relation between black hole geometries and chiral transport. Integrating the anomaly equation in a black hole geometry allows to derive the chiral transport coefficients for the thermal gas far from the horizon. The key ingredient is to impose vanishing of the covariant current on the horizon. We extend the method to include the usual gauge anomaly for charged black holes and to weak magnetic fields. This allows to derive the full set of transport coefficients describing the chiral magnetic and chiral vortical effects.