Tau functions in combinatorial Bethe ansatz

DOI10.1016/j.nuclphysb.2007.06.007zbMath1206.82032arXivmath/0610505OpenAlexW2012755045MaRDI QIDQ2461644

Reiho Sakamoto, Yasuhiko Yamada, Atsuo Kuniba

Publication date: 21 November 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610505

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\) ⋮ Relationships between two approaches: rigged configurations and 10-eliminations ⋮ Similarity and Kirillov-Schilling-Shimozono bijection ⋮ Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics ⋮ Uniform description of the rigged configuration bijection ⋮ Affine crystal structure on rigged configurations of type \(D_{n}^{(1)}\) ⋮ Stable rigged configurations for quantum affine algebras of nonexceptional types ⋮ COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM ⋮ A note on the paper ‘Ultra discrete permanent and the consistency of max plus linear equations’ ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. II: Proof for \(\mathfrak{sl}_{n}\) case ⋮ BOX-BASKET-BALL SYSTEMS ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ Ultra discrete permanent and the consistency of max plus linear equations

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