Exact results in two dimensional chiral hydrodynamics with gravitational anomalies

Abstract

An exact formulation of two dimensional chiral hydrodynamics with diffeomorphism and conformal anomalies is provided. The constitutive relation involving the stress tensor is computed. It reveals a one parameter class of solutions which is a new result. For a particular value of this parameter, the results found in the gradient expansion scheme are reproduced. Moreover, the constitutive relation is analogous to the corresponding relation for an ideal fluid, appropriately modified to include the chirality property, which has also been derived here.

9 pages, Expanded version, Couple of equations modified, new reference added; minor textual changes and new equations added in the final version, To appear in EPJC

References in corpus (7)

• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Gravitational Anomalies and Thermal Hall effect in Topological Insulators
• Hawking Radiation and Covariant Anomalies
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Cited by in corpus (9)

• Adiabatic hydrodynamics: The eightfold way to dissipation
• Two-dimensional fluids and their holographic duals
• Entropy current and equilibrium partition function in fluid dynamics
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Two dimensional hydrodynamics with gauge and gravitational anomalies
• Magnetoconductivity in chiral Lifshitz hydrodynamics
• Entropy current in two dimensional anomalous hydrodynamics and a bound on the sum of the response parameters
• Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions
• Constitutive relations and response parameters in two dimensional hydrodynamics with gauge and gravitational anomalies