Nambu-Goldstone Fields, Anomalies and WZ Terms

TL;DR

This paper develops a formalism to construct Wess-Zumino terms from anomalies in theories with Nambu-Goldstone fields and anomalous gauge theories, generalizing non-linear realization methods, with an application to 2D gravity.

Contribution

It introduces a generalized approach to derive Wess-Zumino terms from anomalies for quasigroup symmetries, extending existing non-linear realization techniques.

Findings

Constructed Wess-Zumino terms for quasigroup anomalies

Applied formalism to 2D gravity with Weyl invariance

Provided a unified framework for effective gauge theories

Abstract

We construct the Wess-Zumino terms from anomalies in case of quasigroups for the following situations. One is effective gauge field theories of Nambu-Goldstone fields associated with spontaneously broken global symmetries and the other is anomalous gauge theories. The formalism that we will develop can be seen as a generalization of the non-linear realization method of Lie groups. As an example we consider 2d gravity with a Weyl invariant regularization