Hall conductivity from dyonic black holes

Details Hall conductivity from dyonic black holes Hall conductivity from dyonic black holes

2007-04-10

arxiv.org/abs/0704.1160v3

Phys.Rev.D76:066001,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+13 pages. TT correlator corrected. Typos corrected and added refs

Scientific paper

10.1103/PhysRevD.76.066001

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.

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