Thermodynamics, gravitational anomalies and cones

Abstract

By studying the Euclidean partition function on a cone, we argue that pure and mixed gravitational anomalies generate a "Casimir momentum" which manifests itself as parity violating coefficients in the hydrodynamic stress tensor and charge current. The coefficients generated by these anomalies enter at a lower order in the hydrodynamic gradient expansion than would be naively expected. In 1+1 dimensions, the gravitational anomaly affects coefficients at zeroth order in the gradient expansion. The mixed anomaly in 3+1 dimensions controls the value of coefficients at first order in the gradient expansion.

37 pages

References in corpus (16)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Gravitational Anomaly and Transport
• Chiral Magnetic conductivity
• Towards hydrodynamics without an entropy current
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Hydrodynamics with General Anomalous Charges
• Entropy Current in Conformal Hydrodynamics
• (Non)-Renormalization of the Chiral Vortical Effect Coefficient
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Large rotating AdS black holes from fluid mechanics
• Chiral anomalies and AdS/CMT in two dimensions
• Lectures on Anomalies
• TASI 2003 Lectures on Anomalies
• Constraints on Superfluid Hydrodynamics from Equilibrium Partition Functions
• Hydrodynamics in 1+1 dimensions with gravitational anomalies

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