Holographic Anomalous Current at a Finite Temperature

TL;DR

This paper explores how holographic anomalous currents behave at finite temperature, revealing a universal high-temperature enhancement in strongly coupled systems, differing from free theories.

Contribution

It demonstrates the universal high-temperature behavior of holographic anomalous currents in higher dimensions, contrasting with free theory predictions.

Findings

Holographic currents are enhanced at high temperature in dimensions >3

Temperature dependence differs from free theories due to strong coupling effects

High temperature limit shows universal behavior independent of magnetic field choices

Abstract

Weyl anomaly leads to novel anomalous currents in a spacetime with boundaries. Recently it is found that the anomalous current can be significantly enhanced by the high temperature for free theories, which could make the experimental measurement easier. In this paper, we investigate holographic anomalous currents at a finite temperature. It is found that the holographic current is still enhanced by the high temperature in dimensions higher than three. However, the temperature dependence is quite different from that of free theories. This may be due to the fact that the holographic CFT is strongly coupled and there is non-zero resistance in the holographic model. Remarkably, the temperature dependence of holographic anomalous currents is universal in the high temperature limit, which is independent of the choices of background magnetic fields.