Simple Algorithm for Factorized Dynamics of gn-Automaton
Abstract
We present an elementary algorithm for the dynamics of recently introduced soliton cellular automata associated with quantum affine algebra Uq(gn) at q=0. For gn = A(1)n, the rule reproduces the ball-moving algorithm in Takahashi-Satsuma's box-ball system. For non-exceptional gn other than A(1)n, it is described as a motion of particles and anti-particles which undergo pair-annihilation and creation through a neutral bound state. The algorithm is formulated without using representation theory nor crystal basis theory.
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