Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2010
• Hauptverfasser: Kuniba, A., Takagi, T.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146151
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾ / A. Kuniba, T. Takagi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 41 назв. — англ.

We study an integrable vertex model with a periodic boundary condition associated with Uq(An⁽¹⁾ at the crystallizing point q=0. It is an (n+1)-state cellular automaton describing the factorized scattering of solitons. The dynamics originates in the commuting family of fusion transfer matrices and ge...