# Chiral transport in strong fields from holography

## TL;DR

This paper investigates anomaly-induced transport phenomena in a strongly coupled 4D field theory with electromagnetic fields using holography, providing new insights into conductivities, diffusion, and chiral magnetic waves.

## Contribution

It offers the first comprehensive holographic analysis of anomaly-induced transport coefficients and non-dissipative chiral magnetic waves in strong magnetic fields.

## Key findings

- Calculated conductivities and diffusion constants as functions of external fields.
- Performed all-order gradient resummation for transport coefficients.
- Analyzed non-dissipative chiral magnetic waves in strong magnetic backgrounds.

## Abstract

Anomaly-induced transport phenomena in presence of strong external electromagnetic fields are explored within a 4D field theory defined holographically as $U(1)_V\times U(1)_A$ Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. Two complementary studies are reported. In the first one, we present results on the Ohmic conductivity, diffusion constant, chiral magnetic conductivity, and additional anomaly-induced transport coefficients as functions of external e/m fields. Next, gradient resummation in a constant background magnetic field is performed. All-order resummed constitutive relations are parameterised by four momenta-dependent transport coefficient functions (TCFs). A highlight of this part is a thorough study of {\it non-dissipative} chiral magnetic waves (CMW) in strong magnetic fields.