Hidden Quantum Group Symmetry in the Chiral Model

Details Hidden Quantum Group Symmetry in the Chiral Model Hidden Quantum Group Symmetry in the Chiral Model

1996-12-12

arxiv.org/abs/hep-th/9612145v1

Nucl.Phys. B496 (1997) 571-589

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 23 pages

Scientific paper

10.1016/S0550-3213(97)00242-3

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.

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