Yangian symmetry in deformed WZNW models on squashed spheres
Io Kawaguchi, Domenico Orlando, Kentaroh Yoshida
TL;DR
This paper constructs a deformed WZNW model on squashed spheres, revealing an infinite family of conserved charges forming a Yangian algebra, and analyzes the renormalization group flow of the squashing parameter.
Contribution
It introduces a new deformation of the WZNW model on squashed spheres that exhibits Yangian symmetry and explores its renormalization group behavior.
Findings
Successful construction of Yangian symmetry in the deformed model
Identification of conserved charges forming an SU(2) Yangian
Analysis of the squashing parameter's RG flow
Abstract
We introduce a deformation of the Wess-Zumino-Novikov-Witten model with three-dimensional squashed sphere target space. We show how with an appropriate choice of Wess--Zumino and boundary terms it is possible to construct an infinite family of conserved charges realizing an SU(2) Yangian. Finally we discuss the running of the squashing parameter under renormalization group flow.
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