Analysis of a particle antiparticle description of a soliton cellular automaton
Mathematical Physics
2015-06-26 v2 math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math-ph/0312069,
title = {Analysis of a particle antiparticle description of a soliton cellular automaton},
author = {Taichiro Takagi},
journal= {arXiv preprint arXiv:math-ph/0312069},
year = {2015}
}
Comments
LaTeX, 21 pages, 2 figures