Scattering Rule in Soliton Cellular Automaton associated with Crystal Base of Uq(D₄⁽³⁾)
Yamada, Daisuke
Original · EN
In terms of the crystal base of a quantum affine algebra Uq(g), we study a soliton cellular automaton (SCA) associated with the exceptional affine Lie algebra g=D₄⁽³⁾. The solitons therein are labeled by the crystals of quantum affine algebra Uq(A₁⁽¹⁾). The scatteing rule is identified with the combinatorial R matrix for Uq(A₁⁽¹⁾)-crystals. Remarkably, the phase shifts in our SCA are given by 3-times of those in the well-known box-ball system.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.