From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions

Abstract

We study Abelian Maxwell-Chern-Simons theory in three-dimensional $AdS$ black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in the present work. In particular we find exact solutions in the low frequency, low momentum limit, $\omega ,k\ll T$(hydrodynamic limit). Using the holographic principle, we translate our results into correlation functions of vector and scalar operators in the dual strongly coupled 1+1-dimensional quantum field theory with a chiral anomaly at non-zero temperature $T$. Starting from the conformal case we show applicability of the hydrodynamic limit and discuss extensions to the non-conformal case. Correlation functions in the conformal case are compared to an exact field theoretic computation.

41 pages + appendix, 4 figures, 1 table

References in corpus (22)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscosity, Black Holes, and Quantum Field Theory
• Metallic AdS/CFT
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Holographic spectral functions and diffusion constants for fundamental matter
• Impure AdS/CFT
• Zero Sound from Holography
• Flavor Superconductivity from Gauge/Gravity Duality
• Gravity Dual of a Quantum Hall Plateau Transition
• Hall Conductivity of Flavor Fields from AdS/CFT
• Holographic vector mesons from spectral functions at finite baryon or isospin density
• Chiral anomalies and AdS/CMT in two dimensions
• Massive type IIA string theory cannot be strongly coupled
• Disordered Systems and the Replica Method in AdS/CFT
• Hydrodynamics in 1+1 dimensions with gravitational anomalies
• Isospin diffusion in thermal AdS/CFT with flavor
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• Holographic quark gluon plasma with flavor
• Holographic two dimensional QCD and Chern-Simons term

Cited by in corpus (5)

• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Two-point Functions in a Holographic Kondo Model
• Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions
• Non-equilibrium dynamics in Holography
• Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in AdS_3