Tau functions in combinatorial Bethe ansatz

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dc.creatorKuniba, Atsuo
dc.creatorSakamoto, Reiho
dc.creatorYamada, Yasuhiko
dc.date2006-10-17
dc.date2007-10-11
dc.date.accessioned2026-07-07T11:48:16Z
dc.date.available2026-07-07T11:48:16Z
dc.descriptionWe introduce ultradiscrete tau functions associated with rigged configurations for A^{(1)}_n. They satisfy an ultradiscrete version of the Hirota bilinear equation and play a role analogous to a corner transfer matrix for the box-ball system. As an application, we establish a piecewise linear formula for the Kerov-Kirillov-Reshetikhin bijection in the combinatorial Bethe ansatz. They also lead to general N-soliton solutions of the box-ball system.
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/math/0610505
dc.identifierhttp://arxiv.org/abs/math/0610505
dc.identifierNucl.Phys.B786:207-266,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.06.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202867
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleTau functions in combinatorial Bethe ansatz
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