Hall transports from Taub-NUT AdS black holes

TL;DR

This paper investigates how the NUT parameter and frame-dragging influence Hall transport in Taub-NUT AdS black holes, revealing significant effects at low temperatures and near the Misner string.

Contribution

It introduces a holographic analysis of charge transport in Taub-NUT AdS black holes considering frame-dragging effects, which is a novel aspect.

Findings

Frame-dragging significantly affects Hall conductivity at low temperatures.

Finite Hall transport arises due to the NUT parameter and frame-dragging.

Effects diminish at higher temperatures and larger magnetic fields.

Abstract

We compute Hall transport coefficients associated with Taub-NUT AdS black holes in four space-time dimensions using the probe D-brane approach. In particular, we examine the effects due to the NUT parameter ($n$), or equivalently, the novel frame-dragging on the holographic charge transport properties. In our analysis, we treat the external electric field as a constant background, while varying the magnetic field ($B$) from small to finite. Within this framework, we analyze conductivities in both low and high temperature regions, focusing on locations that are both near and far from the Misner string. Our calculations show that frame-dragging effects are significant primarily at lower temperatures and near the Misner string, while a small magnetic field is maintained. However, these effects become negligibly small at a ``finite" magnetic field and even at lower temperatures. Our analysis reveals the existence of finite Hall transport, that has its origin in the novel frame-dragging.