Logarithmic Yangians in WZW models

TL;DR

This paper introduces a new, level-independent Yangian symmetry in WZW models, extending previous massive theory symmetries and promising insights into the integrable structure of conformal field theories.

Contribution

It presents a novel Yangian action in WZW models that is generic and level-independent, expanding the understanding of symmetries in conformal field theories.

Findings

New Yangian symmetry in WZW models

Level independence of the Yangian structure

Potential for deeper understanding of integrability in CFTs

Abstract

A new action of the Yangians in the WZW models is displayed. Its structure is generic and level independent. This Yangian is the natural extension at the conformal point of the one unravelled in massive theories with current algebras. Expectingly, this new symmetry of WZW models will lead to a deeper understanding of the integrable structure of conformal field theories and their deformations.