Hall conductivity from dyonic black holes
High Energy Physics - Theory
2008-11-26 v3
Abstract
A class of strongly interacting 2+1 dimensional conformal field theories in a transverse magnetic field can be studied using the AdS/CFT duality. We compute zero momentum hydrodynamic response functions of maximally supersymmetric 2+1 dimensional SU(N) Yang-Mills theory at the conformal fixed point, in the large N limit. With background magnetic field B and electric charge density rho, the Hall conductivity is found to be rho/B. The result, anticipated on kinematic grounds in field theory, is obtained from perturbations of a four dimensional AdS black hole with both electric and magnetic charges.
Cite
@article{arxiv.0704.1160,
title = {Hall conductivity from dyonic black holes},
author = {Sean A. Hartnoll and Pavel Kovtun},
journal= {arXiv preprint arXiv:0704.1160},
year = {2008}
}
Comments
1+13 pages. TT correlator corrected. Typos corrected and added refs