Non-relativistic D3-brane in the presence of higher derivative corrections

TL;DR

This paper investigates higher derivative corrections to non-relativistic D3-branes in type IIB supergravity, analyzing their effects on thermodynamic and hydrodynamic properties, and exploring potential violations of the viscosity bound.

Contribution

It provides the first detailed analysis of alpha'^3 corrections to non-relativistic D3-branes and their impact on physical quantities like temperature, entropy, and shear viscosity.

Findings

Corrections modify temperature, entropy, and shear viscosity.

The eta/s ratio remains within the universal bound at lowest order.

Higher-order corrections may lead to violations of the viscosity bound.

Abstract

Using alpha'^3 terms of type IIB supergravity action we study higher order corrections to the non-relativistic non-extremal D3-brane. Utilizing the corrected solution we evaluate corrections to temperature, entropy and shear viscosity. We also compute the eta/s ratio which although within the range of validity of the supergravity approximation and in the lowest order of the correction the universal bound is respected, there is a possibility for a violation of the bound when higher terms in the expansion are taken into account.