T-Duality in Affine NA Toda Models

TL;DR

This paper explores the Lie algebraic structure of Non Abelian affine Toda models, revealing a subclass that produces pairs of integrable actions with identical spectra related by canonical transformations.

Contribution

It introduces a new subclass of Non Abelian affine Toda models and demonstrates their relation through canonical transformations, enhancing understanding of their integrable structure.

Findings

Identified a subclass of Non Abelian affine Toda models with shared spectra.

Established a relation between pairs of actions via canonical transformations.

Linked the algebraic structure to the integrability of the models.

Abstract

The construction of Non Abelian affine Toda models is discussed in terms of its underlying Lie algebraic structure. It is shown that a subclass of such non conformal two dimensional integrable models naturally leads to the construction of a pair of actions which share the same spectra and are related by canonical transformations.