Scattering rules in soliton cellular automata associated with crystal bases

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dc.creatorHatayama, G.
dc.creatorKuniba, A.
dc.creatorOkado, M.
dc.creatorTakagi, T.
dc.creatorYamada, Y.
dc.date2000-07-28
dc.date2001-01-09
dc.date.accessioned2026-07-07T04:36:33Z
dc.date.available2026-07-07T04:36:33Z
dc.descriptionSolvable vertex models in a ferromagnetic regime give rise to soliton cellular automata at q=0. By means of the crystal base theory, we study a class of such automata associated with the quantum affine algebra U_q(g_n) for non exceptional series g_n = A^{(2)}_{2n-1}, A^{(2)}_{2n}, B^{(1)}_n, C^{(1)}_n, D^{(1)}_n and D^{(2)}_{n+1}. They possess a commuting family of time evolutions and solitons labeled by crystals of the smaller algebra U_q(g_{n-1}). Two-soliton scattering rule is identified with the combinatorial R of U_q(g_{n-1})-crystals, and the multi-soliton scattering is shown to factorize into the two-body ones.
dc.description31pages, LaTeX2e, no figure. For proceedings of Infinite-Dimensional Lie Theory and Conformal Field Theory. Some minor points corrected
dc.identifierhttps://arxiv.org/abs/math/0007175
dc.identifierhttp://arxiv.org/abs/math/0007175
dc.identifierContemp. Math. 297 (2002) 151-182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59637
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject81R50 (Primary) 82B23, 37B15 (Secondary)
dc.titleScattering rules in soliton cellular automata associated with crystal bases
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