Completing Bethe's equations at roots of unity

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dc.creatorFabricius, Klaus
dc.creatorMcCoy, Barry M.
dc.date2000-12-28
dc.date2001-03-29
dc.date.accessioned2026-07-07T02:39:54Z
dc.date.available2026-07-07T02:39:54Z
dc.descriptionIn a previous paper we demonstrated that Bethe's equations are not sufficient to specify the eigenvectors of the XXZ model at roots of unity for states where the Hamiltonian has degenerate eigenvalues. We here find the equations which will complete the specification of the eigenvectors in these degenerate cases and present evidence that the $sl_2$ loop algebra symmetry is sufficiently powerful to determine that the highest weight of each irreducible representation is given by Bethe's ansatz.
dc.description14 pages, Latex. Remarks about the history of BA and Comments about sl_2 loop algebra added. To be published in Journal of Statistical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0012501
dc.identifierhttp://arxiv.org/abs/cond-mat/0012501
dc.identifierJ.Statist.Phys. 104 (2001) 573-587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17200
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleCompleting Bethe's equations at roots of unity
dc.typetext

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