The Bethe ansatz in a periodic box-ball system and the ultradiscrete Riemann theta function

Details The Bethe ansatz in a periodic box-ball system and the ultradiscrete Riemann theta function The Bethe ansatz in a periodic box-ball system and the ultradiscrete Riemann theta function

2006-06-09

arxiv.org/abs/math/0606208v2

J. Stat. Mech. (2006) P09005

Mathematics

Quantum Algebra

11 pages, 1 figure

Scientific paper

10.1088/1742-5468/2006/09/P09005

Vertex models with quantum group symmetry give rise to integrable cellular
automata at q=0. We study a prototype example known as the periodic box-ball
system. The initial value problem is solved in terms of an ultradiscrete
analogue of the Riemann theta function whose period matrix originates in the
Bethe ansatz at q=0.

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