Susceptibilities from holographic transport with topological term

TL;DR

This paper investigates susceptibilities in holographic transport models with topological terms, revealing discrepancies with traditional $AdS_4$ dyonic black hole results, challenging prior assumptions.

Contribution

It introduces a method to compute susceptibilities in holographic setups with topological terms and compares these with established $AdS_4$ black hole results, highlighting differences.

Findings

Susceptibilities calculated via thermodynamic derivatives differ from $AdS_4$ dyonic black hole results.

The presence of topological terms affects the holographic susceptibilities.

Previous expectations of matching results are not supported by the calculations.

Abstract

In this note we calculate susceptibilities, as derivatives of a thermodynamical potential, for the general perturbative holographic set-up for transport with magnetic field, charge density and topological term, and compare with the quantities obtained in the standard $AdS_4$ dyonic black hole analysis of Hartnoll and Kovtun. We find that the results do not match, despite previous expectations.