Symmetry Properties of Anisotropic Superfluids

TL;DR

This paper develops a set of equations describing anisotropic superfluids with non-abelian gauge symmetry, focusing on symmetry breaking, topological quantization, and applications to 3He-A.

Contribution

It introduces a novel framework for modeling anisotropic superfluids with non-abelian gauge symmetry and discusses topological aspects relevant to 3He-A.

Findings

Derived equations for anisotropic superfluid behavior.

Analyzed topological quantization conditions.

Applied framework to 3He-A system.

Abstract

A system of equations is developed for a fluid with non-abelian local gauge symmetry. Anisotropy is introduced by requiring that the symmetry breaking preserves a restricted local gauge symmetry about a given direction in the gauge parameter space. A set of equations is proposed for the 3He-A system. Topological quantization conditions are discussed.