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Running Shear Viscosities in Anisotropic Holographic Superfluids
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abstract
We have examined holographic renormalization group($RG$) flows of the shear viscosities in anisotropic holographic superfluids via their gravity duals, Einstein-SU(2) Yang-Mills system. In anisotropic phase, below the critical temperature $T_c$, the SO(3) isometry(spatial rotation) in the dual gravity system is broken down to the residual SO(2). The shear viscosities in the symmetry broken directions of the conformal fluids defined on $AdS$ boundary present non-universal values which depend on the chemical potential $\mu$ and temperature $T$ of the system and also satisfy non-trivial holographic $RG$-flow equations. The shear viscosities flow down to the specific values in $IR$ region, in fact which are given by the ratios of the metric components in the symmetry unbroken direction to those in the broken directions, evaluated at the black brane horizon in the dual gravity system.
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Cited by 2 Pith papers
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Holographic Entanglement Anisotropy as a Dark Deformation RG Probe in Hyperscaling-Violating $p$-Wave Superfluids
Strip entanglement anisotropy S⊥−S∥ classifies dark portals in HSV p-wave superfluids into rigid rescalings versus width-running kinetic deformations with short-width W² decoupling.
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Analytic approaches to anisotropic holographic superfluids in asymptotically hyperscaling violation geometry
New analytic anisotropic superfluid solutions and leading backreacted metrics are found in D=3 and D=4 Einstein-Scalar-U(1)xSU(2) Yang-Mills theory at the critical chemical potential mu = 4/sqrt(3).
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