Analytic Approaches to anisotropic Holographic Superfluids

TL;DR

This paper develops an analytic model of anisotropic holographic superfluids near criticality, revealing non-universal shear viscosity ratios and critical scaling behavior.

Contribution

It provides the first analytic solution for anisotropic superfluids in holography, including corrections and viscosity analysis.

Findings

Shear viscosity to entropy density ratio is non-universal in broken symmetry directions.

The ratio exhibits a critical scaling with exponent β=1 near the critical point.

Analytic solutions include leading corrections in coupling and order parameters.

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.