Bethe ansatz at q=0 and periodic box-ball systems
arXiv:nlin/0509001 · doi:10.1088/0305-4470/39/11/002
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.
12 pages, Introduction expanded, Summary added and minor modifications made