Periodic cellular automata and Bethe ansatz
classification
🧮 math-ph
math.MPmath.QAnlin.SI
keywords
ansatzbethecellularperiodicadmitsaffineautomataautomaton
read the original abstract
We review and generalize the recent progress in a soliton cellular automaton known as the periodic box-ball system. It has the extended affine Weyl group symmetry and admits the commuting transfer matrix method and the Bethe ansatz at q=0. Explicit formulas are proposed for the dynamical period and the number of states characterized by conserved quantities.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.