Boundary algebraic Bethe Ansatz for a nineteen vertex model with Uq  [osp(2|2)(2)] symmetry. (27th September 2017)

• Record Type: Journal Article
• Authors: Vieira, R S; Lima-Santos, A
• Is Part Of: Journal of statistical mechanics. (2017:Sep.)
• Publication Date: 2017-09-27
• Subjects: 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa85ca
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: The boundary algebraic Bethe Ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra U q [ o s p ( 2 | 2 ) ( 2 ) ] ≃ U q [ C ( 2 ) ( 2 ) ] is presented. The eigenvalues and eigenvectors of Sklyanin's transfer matrix, with diagonal reflection K -matrices, are calculated and the corresponding Bethe Ansatz equations are obtained. A numerical analysis for a small-length chain is also presented.