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

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arxiv hep-th/0608002 v2 pith:X2ASYIEP submitted 2006-08-01 hep-th

classification hep-th
keywords theorygaugeplasmagaugedsupergravitychemicalcoupledmanifolds
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

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  1. Equivariant localization for $D=5$ gauged supergravity

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