Bethe ansatz at q=0 and periodic box-ball systems
classification
🌊 nlin.SI
math-phmath.MPmath.QAnlin.CG
keywords
ansatzbetheperiodicaffinealgebrasassociatedautomatabox-ball
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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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