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Bethe ansatz at q=0 and periodic box-ball systems | Atsuo Kuniba
; Akira Takenouchi
; | Date: |
1 Sep 2005 | Subject: | Exactly Solvable and Integrable Systems; Cellular Automata and Lattice Gases; Quantum Algebra; Mathematical Physics | nlin.SI math-ph math.MP math.QA nlin.CG | 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. | Source: | arXiv, nlin.SI/0509001 | Services: | Forum | Review | PDF | Favorites |
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