Analytic Approaches to anisotropic Holographic Superfluids

Abstract

We construct an analytic solution of the Einstein-SU(2)-Yang-Mills system as the holographic dual of an anisotropic superfluid near its critical point, up to leading corrections in both the inverse Yang-Mills coupling and a symmetry breaking order parameter. We have also calculated the ratio of shear viscosity to entropy density in this background, and shown that the universality of this ratio is lost in the broken symmetry direction. The ratio displays a scaling behavior near the critical point with critical exponent $\beta =1$, at the leading order in the double expansion.

15 pages, typos corrected and references added

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Cited by in corpus (15)

• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography
• The Shear Viscosity in Anisotropic Phases
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• On the Temperature Dependence of the Shear Viscosity and Holography
• New Transport Properties of Anisotropic Holographic Superfluids
• Transport in non-conformal holographic fluids
• The Shear Viscosity in an Anisotropic Unitary Fermi Gas
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• A modulated shear to entropy ratio
• Breaking rotations without violating the KSS viscosity bound
• Viscosity bound for anisotropic superfluids with dark matter sector
• Viscosity for Anisotropic Reissner Nordström Blackbranes
• Holographic entanglement entropy probe on spontaneous symmetry breaking with vector order
• On S-duality for holographic p-wave superconductors