Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in AdS_3

Abstract

In this presentation we review our work on Abelian Maxwell-Chern-Simons theory in three-dimensional AdS black brane backgrounds, with both integer and non-integer Chern-Simons coupling. Such theories can be derived from several string theory constructions, and we found exact solutions in the low frequency, low momentum limit (omega, k << T, the hydrodynamic limit). Our results are translated into correlation functions of vector operators in the dual strongly coupled 1+1-dimensional quantum field theory with a chiral anomaly at non-zero temperature T, via the holographic correspondence. The applicability of the hydrodynamic limit is discussed, together with the comparison between an exact field theoretic computation and the found holographic correlation functions in the conformal case.

arXiv comment4 pages. Contribution to Sakata Memorial KMI Workshop on "Origin of Mass and Strong Coupling Gauge Theories (SCGT15)", 3-6 March 2015, Nagoya University, to appear in the proceedings v2: a reference added

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• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Chiral anomalies and AdS/CMT in two dimensions
• Anomaly Induced Transport in Arbitrary Dimensions
• 3D supergravity from wrapped M5-branes
• Gauge/gravity duality with a chiral N=(0,8) string defect
• Stringy Schroedinger truncations
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions