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arXiv · 1506.05898

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

Han-Chih Chang·Mitsutoshi Fujita·Matthias Kaminski
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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.

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Han-Chih Chang, Mitsutoshi Fujita, Matthias Kaminski. 2015-06-19. Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in AdS_3. https://arxiv.org/abs/1506.05898

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