Affine Poisson Groups and WZW Model

TL;DR

This paper explores a dynamical system derived from the q→∞ limit of the q-deformed WZW model, revealing a Poisson-Lie symmetry with dual groups and uncovering a duality in its exchange relations.

Contribution

It introduces a detailed description of a new dynamical system with Poisson-Lie symmetry and dual groups, expanding understanding of symmetries in q-deformed WZW models.

Findings

Identifies a Poisson-Lie symmetry with two non-isomorphic dual groups.

Uncovers a duality in the exchange relations of the system.

Analyzes the limit of the q-deformed WZW model as q→∞.

Abstract

We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the $q\to\infty$ limit of the q-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of its exchange relations.