Hydrodynamics in 1+1 dimensions with gravitational anomalies

Abstract

The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at second derivative order. This partition function is then used to compute the parity-violating part of the covariant energy-momentum tensor and the transport coefficients.

9 pages, JHEP format.v2; added comments and references, matching published version

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• Constraints on Superfluid Hydrodynamics from Equilibrium Partition Functions
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• A panoply of Schwinger-Keldysh transport
• Chiral and Gravitational Anomalies on Fermi Surfaces
• Constraints on Anomalous Fluid in Arbitrary Dimensions
• Hydrodynamics, spin currents and torsion
• Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
• Anomalies and the Helicity of the Thermal State
• Breakdown of Diffusion on the Edge
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Anomalies and Entanglement Entropy
• Parity violating gravitational response and anomalous constitutive relations
• Two dimensional hydrodynamics with gauge and gravitational anomalies
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• Holographic Thermal Helicity
• Exact results in two dimensional chiral hydrodynamics with gravitational anomalies
• Parity odd equilibrium partition function in 2+1 dimensions
• Connection between response parameter and anomaly coefficient in two dimensional anomalous fluid
• Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions
• On Nieh-Yan Transport
• Global gravitational anomalies and transport
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Anomalous transport at weak coupling