Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction

TL;DR

This paper develops a systematic coset construction method to derive effective field theories for relativistic fluids, solids, and their super counterparts, confirming previous results and deriving new terms like the Wess-Zumino term for anomalous fluids.

Contribution

It introduces a unified coset construction approach for low-energy effective theories of relativistic condensed matter systems and their supersymmetric extensions.

Findings

Derived effective theories match previous results

Re-derived the Wess-Zumino term for anomalous fluids

Provided a systematic framework for future studies

Abstract

We provide a systematic coset construction of the effective field theories governing the low-energy dynamics of relativistic fluids and solids, and of their "super" counterparts. These effective theories agree with those previously derived via different techniques. As an application of our methods, we re-derive the Wess-Zumino term relevant for anomalous charge-carrying fluids in (1+1) dimensions.