Holographic Dissipation from the Symplectic Current

TL;DR

This paper introduces analytic methods leveraging the symplectic current in gravity to compute dissipative transport coefficients in holographic fluids, enhancing understanding of fluid dynamics in holographic models.

Contribution

It presents a novel analytic approach using the symplectic current to determine dissipative terms in holographic fluids, generalizing previous results for viscosity coefficients.

Findings

Reproduced known shear viscosity results

Generalized bulk viscosity expression

Provided a new analytic framework for dissipation in holography

Abstract

We develop analytic techniques to construct the leading dissipative terms in a derivative expansion of holographic fluids. Our basic ingredient is the Crnkovic-Witten symplectic current of classical gravity which we use to extract the dissipative transport coefficients of holographic fluids, assuming knowledge of the thermodynamics and the near horizon geometries of the bulk black hole geometries. We apply our techniques to non-conformal neutral fluids to reproduce previous results on the shear viscosity and generalise a known expression for the bulk viscosity.