Towards the solution of an integrable D-2((2)) spin chain

Author(s)

Nepomechie, Rafael I. ^[1] ; Pimenta, Rodrigo A. ^{[2, 3, 4]} ; Retore, Ana L. ^[5]

Affiliation

^[1] Univ Miami, Phys Dept, POB 248046, Coral Gables, FL 33124 - USA

^[2] Capes Fdn, Minist Educ Brazil, BR-70040020 Brasilia, DF - Brazil

^[3] Univ Sao Paulo, Inst Fis Sao Carlos, Caixa Postal 369, BR-13566590 Sao Carlos, SP - Brazil

^[4] Univ Orleans, Univ Tours, CNRS UMR 7013, Inst Denis Poisson, Parc Grammont, F-37200 Tours - France

^[5] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco II, BR-01140070 Sao Paulo - Brazil

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 52, n. 43 OCT 25 2019.
• Web of Science Citations: 0

Abstract

Two branches of integrable open quantum-group invariant D-n+1((2)) quantum spin chains are known. For one branch (epsilon = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (epsilon = 1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues. (AU)

• FAPESP's process: 17/03072-3 - Quantum Group Symmetries for A_(2n-1)^(2) models
• Grantee: Ana Lúcia Retore
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• FAPESP's process: 17/02987-8 - New developments in quantum spin chains
• Grantee: Rodrigo Alves Pimenta
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 15/00025-9 - Backlund transformations in integrable hierarchies, solitons and integrable defects
• Grantee: Ana Lúcia Retore
• Support Opportunities: Scholarships in Brazil - Doctorate