Bethe ansatz at q=0 and periodic box-ball systems
Exactly Solvable and Integrable Systems
2009-11-11 v2 Mathematical Physics
math.MP
Quantum Algebra
Cellular Automata and Lattice Gases
Abstract
A class of periodic soliton cellular automata is introduced associated with crystals of non-exceptional quantum affine algebras. Based on the Bethe ansatz at q=0, we propose explicit formulas for the dynamical period and the size of certain orbits under the time evolution in A^{(1)}_n case.
Keywords
Cite
@article{arxiv.nlin/0509001,
title = {Bethe ansatz at q=0 and periodic box-ball systems},
author = {Atsuo Kuniba and Akira Takenouchi},
journal= {arXiv preprint arXiv:nlin/0509001},
year = {2009}
}
Comments
12 pages, Introduction expanded, Summary added and minor modifications made