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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.)

Reflection K-matrices 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: Physics Letters A; v. 381, n. 36, p. 3015-3020, SEP 25 2017.
Web of Science Citations: 2
Abstract

We derive the solutions of the boundary Yang Baxter equation associated with a supersymmetric nineteen vertex model constructed from the three-dimensional representation of the twisted quantum affine Lie superalgebra U-q{[}osp(2 vertical bar 2)((2))]. We found three classes of solutions. The type I solution is characterized by three boundary free-parameters and all elements of the corresponding reflection K-matrix are different from zero. In the type II solution, the reflection K-matrix is even (every element of the K-matrix with an odd parity is null) and it has only one boundary free-parameter. Finally, the type III solution corresponds to a diagonal reflection K-matrix with two boundary free-parameters. (C) 2017 Elsevier B.V. All rights reserved. (AU)

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