Exact results in two dimensional chiral hydrodynamics with gravitational anomalies

TL;DR

This paper provides an exact formulation of two-dimensional chiral hydrodynamics incorporating gravitational anomalies, revealing a new one-parameter class of solutions and connecting to ideal fluid relations.

Contribution

It introduces an exact, non-perturbative formulation of chiral hydrodynamics with anomalies, including a novel one-parameter family of solutions.

Findings

Identifies a one-parameter class of solutions in chiral hydrodynamics.

Reproduces gradient expansion results for a specific parameter value.

Derives a constitutive relation analogous to an ideal fluid, modified for chirality.

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.