Analysis of a particle antiparticle description of a soliton cellular automaton
Takagi, Taichiro
arXiv, 0312069 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-12-26
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{0312069,
     author = {Takagi, Taichiro},
     title = {Analysis of a particle antiparticle description of a soliton cellular
  automaton},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312069}
}

Takagi, Taichiro. Analysis of a particle antiparticle description of a soliton cellular
  automaton. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312069/