Viscosity to entropy ratio at extremality

Abstract

Assuming gauge theory realization at the boundary, we show that the viscosity to entropy ratio is 1/(4 pi) where the bulk is represented by a large class of extremal black holes in anti-de Sitter space. In particular, this class includes multiple R-charged black holes in various dimensions.

7 pages, some typos corrected, conclusion added, journal version

References in corpus (8)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Holographic duality with a view toward many-body physics
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• Transport coefficients, membrane couplings and universality at extremality
• Non-relativistic metrics with extremal limits
• Notes on R-charged black holes near criticality and gauge theory

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