Viscosities and shift in a chiral superfluid: a holographic study

TL;DR

This paper investigates the viscosity and conductivity of a holographic chiral superfluid, revealing persistent relationships between Hall viscosity, superfluid density, and shift across temperatures, and identifying a Lifshitz throat at low temperatures.

Contribution

It extends holographic models of chiral superfluids by computing viscosity responses beyond the probe limit and analyzing their temperature dependence.

Findings

Hall viscosity relates to superfluid density and shift at all temperatures.

The ratio of Hall viscosity to superfluid density remains constant for p±ip superfluids.

A Lifshitz throat appears at low temperatures, indicating anisotropic scaling.

Abstract

We consider a holographic model of chiral superfluidity whose bulk is Einstein Yang-Mills and compute viscosity and conductivity responses away from the probe limit. We calculate Hall viscosity and analyze its relationship to the superfluid density and the shift. We find that the relationship between these quantities derived from effective field theory at zero temperature persists for all temperatures: for $p\pm ip$ their ratio is equal to $\mp1/2$. At low temperatures the system develops a Lifshitz throat, indicating an anisotropic scaling symmetry in the infrared dynamics.