Non-Abelian Duality and Canonical Transformations

TL;DR

This paper constructs explicit canonical transformations to generate non-abelian duals in principal chiral models, providing insights into dualities in complex sigma-models and discussing potential extensions to models like WZW.

Contribution

It introduces a method for explicitly constructing non-abelian duals via canonical transformations in principal chiral models, advancing understanding of dualities in non-abelian field theories.

Findings

Explicit canonical transformations for non-abelian duals

Application to principal chiral models with arbitrary group G

Discussion on extending methods to WZW models

Abstract

We construct explicit canonical transformations producing non-abelian duals in principal chiral models with arbitrary group G. Some comments concerning the extension to more general $\sigma$-models, like WZW models, are given.