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Boundary algebraic Bethe Ansatz for a nineteen vertex model with U-q [osp(2 vertical bar 2)((2))] symmetry

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Author(s):
Vieira, R. S. ; Lima-Santos, A.
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 27-pg., 2017-09-01.
Abstract

The boundary algebraic Bethe Ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum a. ne Lie superalgebra U-q[osp(2 vertical bar 2)((2))] similar or equal to 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. (AU)

FAPESP's process: 11/18729-1 - Gravitation and cosmology: structural questions and applications
Grantee:Elcio Abdalla
Support Opportunities: Research Projects - Thematic Grants