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arXiv · 0704.1160

Hall conductivity from dyonic black holes

Sean A. Hartnoll·Pavel Kovtun
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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.

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Sean A. Hartnoll, Pavel Kovtun. 2007-10-18. Hall conductivity from dyonic black holes. https://doi.org/10.1103/physrevd.76.066001

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