Hidden Quantum Group Symmetry in the Chiral Model

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Date
1997-07-14
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
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 non-abelian Toda lattice, which is obtained in the limit of infinite central charge, while the other is a non-standard Hamiltonian description of the chiral model, which is obtained in the continuum limit.

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Keywords
Chiral model, Kac-Moody algebra, Toda lattice, Lax pair, Lie-Poisson
Citation
Stern, A., Vitale, P. (1997): Hidden Quantum Group Symmetry in the Chiral Model. Nuclear Physics B, 496(3). DOI: https://doi.org/10.1016/S0550-3213(97)00242-3