The A(1)M automata related to crystals of symmetric tensors

G. Hatayama, K. Hikami, R. Inoue, A. Kuniba, T. Takagi, T. Tokihiro

研究成果: Contribution to journalArticle査読

75 被引用数 (Scopus)

抄録

A soliton cellular automaton associated with crystals of symmetric tensor representations of the quantum affine algebra U′q(A(1)M) is introduced. It is a crystal theoretic formulation of the generalized box-ball system in which capacities of boxes and carriers are arbitrary and inhomogeneous. Scattering matrices of two solitons coincide with the combinatorial R matrices of U′q(A(1)M-1). A piecewise linear evolution equation of the automaton is identified with an ultradiscrete limit of the nonautonomous discrete Kadomtsev-Petviashivili equation. A class of N soliton solutions is obtained through the ultradiscretization of soliton solutions of the latter.

本文言語英語
ページ(範囲)274-308
ページ数35
ジャーナルJournal of Mathematical Physics
42
1
DOI
出版ステータス出版済み - 1 2001
外部発表はい

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 数理物理学

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