Hidden Quantum Group Symmetry in the Chiral Model
A. Stern, P. Vitale
TL;DR
This paper introduces a new lattice formulation of the 2D SU(2) chiral model using quantum group symmetries, revealing connections to nonabelian Toda lattices and continuum models.
Contribution
It presents a novel lattice description of the chiral model incorporating quantum group symmetry, bridging it with Toda lattices and continuum theories.
Findings
Lattice model exhibits global quantum group symmetry.
Connections established between lattice and continuum limits.
Deformation of two different theories via quantum group structure.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.