Box ball system associated with antisymmetric tensor crystals

Details Box ball system associated with antisymmetric tensor crystals Box ball system associated with antisymmetric tensor crystals

2003-12-26

arxiv.org/abs/math/0312461v2

J. Phys. A 37 (2004), no. 42, 9975--9987

Mathematics

Quantum Algebra

15 pages

Scientific paper

10.1088/0305-4470/37/42/010

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.

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