Remarks on Non-Abelian Duality

TL;DR

This paper explores non-Abelian duality in two-dimensional theories that are scale-invariant but not conformally invariant, analyzing their dual models and the implications of duality transformations.

Contribution

It introduces a class of non-conformal, scale-invariant models related by non-Abelian duality, expanding understanding of duality in non-semisimple isometry groups.

Findings

Identified models with scale invariance but lacking conformal invariance.

Constructed dual models, including local and non-local versions.

Analyzed the effects of duality transformations on these models.

Abstract

A class of two-dimensional globally scale-invariant, but not conformally invariant, theories is obtained. These systems are identified in the process of discussing global and local scaling properties of models related by duality transformations, based on non-semisimple isometry groups. The construction of the dual partner of a given model is followed through; non-local as well as local versions of the former are discussed.