A deformation of quantum affine algebra in squashed WZNW models
Abstract
We proceed to study infinite-dimensional symmetries in two-dimensional squashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. The target space is given by squashed S^3 and the isometry is SU(2)_L x U(1)_R. It is known that SU(2)_L is enhanced to a couple of Yangians. We reveal here that an infinite-dimensional extension of U(1)_R is a deformation of quantum affine algebra, where a new deformation parameter is provided with the coefficient of the Wess-Zumino term. Then we consider the relation between the deformed quantum affine algebra and the pair of Yangians from the viewpoint of the left-right duality of monodromy matrices. The integrable structure is also discussed by computing the r/s-matrices that satisfy the extended classical Yang-Baxter equation. Finally two degenerate limits are discussed.
Keywords
Cite
@article{arxiv.1311.4696,
title = {A deformation of quantum affine algebra in squashed WZNW models},
author = {Io Kawaguchi and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1311.4696},
year = {2015}
}
Comments
62 pages, 5 figures