Hall conductivity from dyonic black holes

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.

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

References in corpus (4)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Quantum critical transport, duality, and M-theory
• Hotter, Denser, Faster, Smaller...and Nearly-Perfect: What's the matter at RHIC?

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• Holographic Thermodynamics and Transport of Flavor Fields