Towards the solution of an integrable spin chain

Two branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 1) has so far resisted solution. In an effort to address this problem, we consider here the simpl...

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Detalles Bibliográficos
Autores: Nepomechie, Rafael I., Pimenta, Rodrigo A., Retore, Ana L. [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/199477
Acceso en línea:http://dx.doi.org/10.1088/1751-8121/ab434d
http://hdl.handle.net/11449/199477
Access Level:acceso abierto
Palabra clave:Bethe ansatz
integrable quantum spin chains
quantum group
Descripción
Sumario:Two branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 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.