Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking

TL;DR

This paper develops a hydrodynamic theory for relativistic non-Abelian superfluids with symmetry locking, revealing parity-breaking effects and estimating Hall viscosity near criticality, consistent with holographic models.

Contribution

It introduces a novel hydrodynamic framework for non-Abelian superfluids with symmetry locking, highlighting parity violation and deriving new transport coefficients.

Findings

Parity is spontaneously broken in the locked phase.

The ratio of Hall viscosity to angular momentum density is estimated near the critical point.

Hydrodynamic results align with holographic p-wave superfluid calculations.

Abstract

We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a "locked" phase. Locking a superfluid with SU(2) internal symmetry in 2+1 dimensions breaks parity spontaneously, and introduces parity-odd terms in the constitutive relations. We show that there are qualitatively different extensions of the rest frame locking to non-zero velocities. We construct the resulting superfluid hydrodynamics up to the first derivative order. Using an expansion close to the critical point, we estimate the ratio of the Hall viscosity and the angular momentum density. Our general hydrodynamic results are compatible with the holographic p-wave calculations in arXiv:1311.4882.