Anomalous Chiral Superfluidity

TL;DR

This paper explores the theoretical framework of anomalous chiral superfluidity, focusing on the role of Cartan currents and energy-momentum tensor in flavored chiral phonons within a superfluid, incorporating anomalies and effective field theory approaches.

Contribution

It introduces a novel effective theory for flavored chiral phonons in superfluids, incorporating anomalies via the gauged Wess-Zumino-Witten term and analyzing the form of constitutive currents.

Findings

Derived form of anomalous Cartan currents in chiral superfluids.

Formulated the energy-momentum tensor with anomalies.

Discussed implications of higher order corrections and the Adler-Bardeen theorem.

Abstract

We discuss both the anomalous Cartan currents and the energy-momentum tensor in a left chiral theory with flavour anomalies as an effective theory for flavored chiral phonons in a chiral superfluid with the gauged Wess-Zumino-Witten term. In the mean-field (leading tadpole) approximation the anomalous Cartan currents and the energy momentum tensor take the form of constitutive currents in the chiral superfluid state. The pertinence of higher order corrections and the Adler-Bardeen theorem is briefly noted.