Susceptibilities from Holographic Transport with Topological Term

In this note, we calculate susceptibilities, as derivatives of a thermodynamical potential, for the general perturbative holographic setup for transport with magnetic field, charge density and topological term, and compare with the quantities obtained in the standard AdS4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$AdS_4$$\end{document} dyonic black hole analysis of Hartnoll and Kovtun. We find that the results do not match, despite previous expectations.