The Bethe Equation at q=0, The M"obius Inversion Formula, and Weight Multiplicities: III. The X^{(r)}_N case

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dc.creatorKuniba, A.
dc.creatorNakanishi, T.
dc.creatorTsuboi, Z.
dc.date2001-05-17
dc.date.accessioned2026-07-07T04:41:45Z
dc.date.available2026-07-07T04:41:45Z
dc.descriptionIt is shown that the numbers of off-diagonal solutions to the U_q(X^{(r)}_N) Bethe equation at q=0 coincide with the coefficients in the recently introduced canonical power series solution of the Q-system. Conjecturally the canonical solutions are characters of the KR (Kirillov-Reshetikhin) modules. This implies that the numbers of off-diagonal solutions agree with the weight multiplicities, which is interpreted as a formal completeness of the U_q(X^{(r)}_N) Bethe ansatz at q=0.
dc.description11 pages, LaTeX2e, no figure
dc.identifierhttps://arxiv.org/abs/math/0105146
dc.identifierhttp://arxiv.org/abs/math/0105146
dc.identifierLett.Math.Phys. 59 (2002) 19-31
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61488
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject81R10 (Primary), 82B23 (Secondary)
dc.titleThe Bethe Equation at q=0, The M"obius Inversion Formula, and Weight Multiplicities: III. The X^{(r)}_N case
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