Hidden Quantum Group Symmetry in the Chiral Model
High Energy Physics - Theory
2009-10-30 v1
Abstract
We apply the SL(2,C) lattice Kac-Moody algebra of Alekseev, Faddeev and Semenov-Tian-Shansky to obtain a new lattice description of the SU(2) chiral model in two dimensions. The system has a global quantum group symmetry and it can be regarded as a deformation of two different theories. One is the nonabelian Toda lattice which is obtained in the limit of infinite central charge, while the other is a nonstandard Hamiltonian description of the chiral model obtained in the continuum limit.
Keywords
Cite
@article{arxiv.hep-th/9612145,
title = {Hidden Quantum Group Symmetry in the Chiral Model},
author = {A. Stern and P. Vitale},
journal= {arXiv preprint arXiv:hep-th/9612145},
year = {2009}
}
Comments
Latex file, 23 pages