On the inclusion of statistical matter in the non-relativistic limit of NS-NS supergravity

TL;DR

This paper develops a T-duality invariant framework for non-relativistic supergravity coupled with statistical matter, showing that a viscous fluid description emerges in the non-relativistic limit similar to the relativistic case.

Contribution

It introduces a method to incorporate statistical matter into non-relativistic supergravity with T-duality invariance, demonstrating the necessity of a viscous fluid description in the non-relativistic limit.

Findings

Statistical matter couples to non-relativistic supergravity in a T-duality invariant way.

In the non-relativistic limit, statistical matter behaves as a viscous fluid.

The energy-momentum tensor remains covariant under T-duality.

Abstract

We combine techniques from kinetic theory and string dualities to couple statistical matter to a non-relativistic (NR) supergravity background, enabling the theory to be formulated in a T-duality invariant form. Similarly to the relativistic case, we explicitly demonstrate that, in the NR limit, the many-strings system necessitates a viscous fluid description for the statistical matter. This is achieved using the generalized energy-momentum tensor of a perfect fluid, which remains covariant under T-duality.