COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM

DOI10.1142/S0129055X08003365zbMath1215.82016arXiv0708.3287MaRDI QIDQ3525342

Reiho Sakamoto, Atsuo Kuniba

Publication date: 12 September 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3287

zbMATH Keywords

Bethe ansatzcrystal basisbox-ball systemtropical theta functions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Statistical mechanics of crystals (82D25) Exactly solvable models; Bethe ansatz (82B23) Cellular automata (computational aspects) (68Q80) Soliton equations (35Q51) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Theta functions and abelian varieties (14K25)

Related Items (3)

Box and ball system with numbered boxes ⋮ Geometric lifting of the integrable cellular automata with periodic boundary conditions ⋮ Differential equations for the closed geometric crystal chains

Cites Work

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