The spectrum of quantum-group-invariant transfer matrices

Autor(es)

Nepomechie, I, Rafael ; Retore, Ana L. ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Sao Paulo - Brazil

^[2] Nepomechie, Rafael, I, Univ Miami, Phys Dept, POB 248046, Coral Gables, FL 33124 - USA

• Tipo de documento: Artigo Científico
• Fonte: Nuclear Physics B; v. 938, p. 266-297, JAN 2019.
• Citações Web of Science: 0

Resumo

Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras (g) over cap, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv:1802.04864 and arXiv:1805.10144. It was shown there that these transfer matrices have quantum group symmetry corresponding to removing the pth node from the (g) over cap Dynkin diagram. Here we determine the spectrum of these transfer matrices by using analytical Bethe ansatz, and we determine the dependence of the corresponding Bethe equations on p. We propose formulas for the Dynkin labels of the Bethe states in terms of the numbers of Bethe roots of each type. We also briefly study how duality transformations are implemented on the Bethe ansatz solutions. (C) 2018 The Author(s). Published by Elsevier B.V. (AU)

• Processo FAPESP: 17/03072-3 - Simetrias de Grupos Quânticos para modelos A_(2n-1)^(2)
• Beneficiário: Ana Lúcia Retore
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 15/00025-9 - Transformações de Backlund em hierarquias integráveis, sólitons e defeitos integráveis
• Beneficiário: Ana Lúcia Retore
• Modalidade de apoio: Bolsas no Brasil - Doutorado