Box ball system associated with antisymmetric tensor crystals

Abstract

A new box ball system associated with an antisymmetric tensor crystal of the quantum affine algebra of type A is considered. This includes the so-called colored box ball system with capacity 1 as the simplest case. Infinite number of conserved quantities are constructed and the scattering rule of two olitons are given explicitly.

15 pages

References in corpus (3)

• The A^{(1)}_M automata related to crystals of symmetric tensors
• Soliton Cellular Automata Associated With Crystal Bases
• Energy Functions in Box Ball Systems

Cited by in corpus (10)

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• A uniform approach to soliton cellular automata using rigged configurations
• Uniform description of the rigged configuration bijection
• Generalized hydrodynamics in complete box-ball system for $U_q({\widehat{sl}}_n)$
• Soliton cellular automaton associated with $D_n^{(1)}$-crystal $B^{2,s}$
• Soliton cellular automata for the affine general linear Lie superalgebra