Fluid/Gravity Correspondence, Second Order Transport and Gravitational Anomaly

TL;DR

This paper investigates how chiral and gauge-gravitational anomalies influence the transport properties of relativistic fluids using holographic duality, revealing new transport coefficients and effects on shear wave dispersion.

Contribution

It introduces new anomalous and non-anomalous transport coefficients and explores their implications within the fluid/gravity correspondence framework.

Findings

Discovered new anomalous transport coefficients due to gauge-gravitational anomaly.

Analyzed the impact of anomalies on shear wave dispersion relations.

Identified contributions of mixed gauge-gravitational anomaly to fluid transport.

Abstract

We study the transport properties of a relativistic fluid affected by chiral and gauge-gravitational anomalies. The computation is performed in the framework of the fluid/gravity correspondence for a 5 dim holographic model with Chern-Simons terms in the action. We find new anomalous and non anomalous transport coefficients, as well as new contributions to the existing ones coming from the mixed gauge-gravitational anomaly. Consequences for the shear waves dispersion relation are analyzed.