Entropy Current Formalism for Supersymmetric Theories

TL;DR

This paper develops a new entropy current formalism in superspace tailored for supersymmetric theories and supergravities, ensuring conservation, invariance, and covariance properties aligned with supersymmetry principles.

Contribution

It introduces a novel entropy current in superspace that is conserved off-shell, invariant under supersymmetry, and reduces to the bosonic case, advancing fluid dynamics in supersymmetric contexts.

Findings

Entropy current is conserved off-shell for non-dissipative fluids.

The formalism is invariant under rigid supersymmetry transformations.

It reduces to the bosonic entropy current in space-time.

Abstract

The recent developments in fluid/gravity correspondence give a new impulse to the study of fluid dynamics of supersymmetric theories. In that respect, the entropy current formalism requires some modifications in order to be adapted to supersymmetric theories and supergravities. We formulate a new entropy current in superspace with the properties: 1) it is conserved off-shell for non dissipative fluids, 2) it is invariant under rigid supersymmetry transformations 3) it is covariantly closed in local supersymmetric theories 4) it reduces to its bosonic expression on space-time.