Hidden Quantum Group Symmetry in the Chiral Model
arXiv:hep-th/9612145 · doi:10.1016/S0550-3213(97)00242-3
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.
Latex file, 23 pages
References in corpus (11)
- Symplectic structures associated to Lie-Poisson groups
- Quantum integrability of nonultralocal models through Baxterisation of quantised braided algebra
- The classical r-matrix method for nonlinear sigma-model
- Integrability of the Wess_Zumino-Witten model as a non-ultralocal theory
- Poisson Lie Group Symmetries for the Isotropic Rotator
- Alternative Canonical Formalism for the Wess-Zumino-Witten Model
- Gauge-invariant Hamiltonian formulation of lattice Yang-Mills theory and the Heisenberg double
- Deformation Quantization of the Isotropic Rotator
- Lattice Gauge Theory
- Algebraic Framework for Quantization of Nonultralocal Models
- Hamiltonian lattice gauge models and the Heisenberg double