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Bethe ansatz at q=0 and periodic box-ball systems

Atsuo Kuniba·Akira Takenouchi
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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.

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Atsuo Kuniba, Akira Takenouchi. 2006-03-02. Bethe ansatz at q=0 and periodic box-ball systems. https://doi.org/10.1088/0305-4470%2F39%2F11%2F002

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