T-duality of axial and vector dyonic integrable models

TL;DR

This paper explores the T-duality between axial and vector affine non-Abelian Toda models, revealing conditions for T-selfduality and their integrable structures in string theory backgrounds.

Contribution

It provides a general construction of affine NA-Toda models via gauged WZNW models and analyzes their off-critical T-duality properties, including T-selfduality conditions.

Findings

Identified Lie algebraic conditions for T-selfduality.

Established zero curvature representations for T-selfdual models.

Linked integrable models to black hole string backgrounds.

Abstract

A general construction of affine Non Abelian (NA) - Toda models in terms of axial and vector gauged two loop WZNW model is discussed. They represent {\it integrable perturbations} of the conformal $\sigma$-models (with tachyons included) describing (charged) black hole type string backgrounds. We study the {\it off-critical} T-duality between certain families of axial and vector type of integrable models for the case of affine NA- Toda theories with one global U(1) symmetry. In particular we find the Lie algebraic condition defining a subclass of {\it T-selfdual} torsionless NA Toda models and their zero curvature representation.