Holographic Thermal Helicity

Abstract

We study the thermal helicity, defined in arXiv:1211.3850, of a conformal field theory with anomalies in the context of AdS${}_{2n+1}$/CFT${}_{2n}$. To do so, we consider large charged rotating AdS black holes in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant using fluid/gravity expansion. We compute the anomaly-induced current and stress tensor of the dual CFT in leading order of the fluid/gravity derivative expansion and show their agreement with the field theoretical replacement rule for the thermal helicity. Such replacement rule is reflected in the bulk by new replacement rules obeyed by the Hall currents around the black hole.

20 pages + 47 pages of appendices ; v2: minor corrections

References in corpus (12)

• Gravitational Anomaly and Transport
• Four-Dimensional SCFTs from M5-Branes
• Relativistic Hydrodynamics with General Anomalous Charges
• Black hole mass and angular momentum in topologically massive gravity
• Entropy Current in Conformal Hydrodynamics
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Anomaly inflow and thermal equilibrium
• Large rotating AdS black holes from fluid mechanics
• Hydrodynamics in 1+1 dimensions with gravitational anomalies

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• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Covariant Noether Charge for Higher Dimensional Chern-Simons Terms
• Entropy for gravitational Chern-Simons terms by squashed cone method
• Anomalies, Chern-Simons Terms and Black Hole Entropy
• Membrane paradigm and RG flows for anomalous holographic theories
• One-loop effective actions and 2D hydrodynamics with anomalies
• Chiral kinetic theory and anomalous hydrodynamics in even spacetime dimensions