Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
arXiv:nlin/0611046 · doi:10.1007/s11005-007-0162-2
Abstract
The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete analogue of the Riemann theta function with rational characteristics.
9 pages