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arXiv:math-ph/0511013

Periodic Cellular Automata and Bethe Ansatz

Atsuo Kuniba, Akira Takenouchi

Published Dec 1, 2006• 5 citations
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Abstract

We review and generalize the recent progress in a soliton cellular automaton known as the periodic box-ball system. It has the extended affine Weyl group symmetry and admits the commuting transfer matrix method and the Bethe ansatz at q=0. Explicit formulas are proposed for the dynamical period and the number of states characterized by conserved quantities.

DOI
10.1142/9789812772527_0024

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