Gauged supergravity from type IIB string theory on Y^{p,q} manifolds

TL;DR

This paper constructs a consistent five-dimensional N=2 gauged supergravity model from type IIB string theory on Y^{p,q} manifolds, explores R-charged black hole thermodynamics, and investigates the universal shear viscosity to entropy density ratio in the dual gauge theory plasma.

Contribution

It provides the first consistent Kaluza-Klein reduction ansatz for type IIB on Y^{p,q} and studies the thermodynamics and transport properties of the resulting gauge theory plasma.

Findings

Universal shear viscosity to entropy density ratio in the plasma.

Construction of a consistent supergravity reduction on Y^{p,q}.

Evidence that viscosity universality extends to nonzero R-charge chemical potential.

Abstract

We first construct a consistent Kaluza-Klein reduction ansatz for type IIB theory compactified on Sasaki-Einstein manifolds Y^{p,q} with Freund-Rubin 5-form flux giving rise to minimal N=2 gauged supergravity in five dimensions. We then investigate the R-charged black hole solution in this gauged supergravity, and in particular study its thermodynamics. Based on the gauge theory/string theory correspondence, this non-extremal geometry is dual to finite temperature strongly coupled four-dimensional conformal gauge theory plasma with a U(1)_R-symmetry charge chemical potential. We study transport properties of the gauge theory plasma and show that the ratio of shear viscosity to entropy density in this plasma is universal. We further conjecture that the universality of shear viscosity of strongly coupled gauge theory plasma extends to nonzero R-charge chemical potential.