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arXiv · math-ph/0312069

Analysis of a particle antiparticle description of a soliton cellular automaton

Taichiro Takagi
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Abstract

We present a derivation of a formula that gives dynamics of an integrable cellular automaton associated with crystal bases. This automaton is related to type D affine Lie algebra and contains usual box-ball systems as a special case. The dynamics is described by means of such objects as carriers, particles, and antiparticles. We derive it from an analysis of a recently obtained formula of the combinatorial R (an intertwiner between tensor products of crystals) that was found in a study of geometric crystals.

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Taichiro Takagi. 2003-12-26. Analysis of a particle antiparticle description of a soliton cellular automaton. https://doi.org/10.1063/1.2161390

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