Surveying the quantum group symmetries of integrable open spin chains

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. 930, p. 91-134, MAY 2018.
• Citações Web of Science: 4

Resumo

Using anisotropic R-matrices associated with affine Lie algebras (g) over cap (specifically, A(2n)((2)), A(2n-1)((2)), B-n((1)),C-n((1)),D-n((1))) and suitable corresponding K-matrices, we construct families of integrable open quantum spin chains of finite length, whose transfer matrices are invariant under the quantum group corresponding to removing one node from the Dynkin diagram of (g) over cap. We show that these transfer matrices also have a duality symmetry (for the cases C-n((1)) and D-n((1)) ) and additional Z(2) symmetries that map complex representations to their conjugates (for the cases A(2n-1)((2)), B-n(1) and D-n((1))). A key simplification is achieved by working in a certain ``unitary{''} gauge, in which only the unbroken symmetry generators appear. The proofs of these symmetries rely on some new properties of the R-matrices. We use these symmetries to explain the degeneracies of the transfer matrices. (C) 2018 The Author(s). Published by Elsevier B.V. (AU)

• 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
• 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