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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Surveying the quantum group symmetries of integrable open spin chains

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Author(s):
Nepomechie, I, Rafael ; Retore, Ana L. [1, 2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Nuclear Physics B; v. 930, p. 91-134, MAY 2018.
Web of Science Citations: 4
Abstract

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)

FAPESP's process: 17/03072-3 - Quantum group symmetries for A_(2n-1)^(2) models
Grantee:Ana Lúcia Retore
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 15/00025-9 - Backlund transformations in integrable hierarchies, solitons and integrable defects
Grantee:Ana Lúcia Retore
Support type: Scholarships in Brazil - Doctorate