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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 matrices with U-q [osp((2)) (2|2m)] symmetry

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Author(s):
Vieira, R. S. [1] ; Lima-Santos, A. [1]
Total Authors: 2
Affiliation:
[1] Univ Fed Sao Carlos, Dept Fis, Caixa Postal 676, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 50, n. 37 SEP 15 2017.
Web of Science Citations: 2
Abstract

We propose a classification of the reflection K-matrices (solutions of the boundary Yang-Baxter equation) for the U-q{[}osp((2)) (2|2m)] = U-q{[}C-(2) (m + 1)] vertex-model. We found four families of solutions, namely, the complete solutions, in which no elements of the reflection K-matrix is null, the block-diagonal solutions, the X-shape solutions and the diagonal solutions. We highlight that these diagonal K-matrices also hold for the U-q{[}osp((2)) (2n + 2|2m)] = U-q{[}D-(2) (n + 1, m)] vertex-model. (AU)

FAPESP's process: 12/02144-7 - Algebraic Bethe Ansatz and Applications
Grantee:Ricardo Soares Vieira
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 11/18729-1 - Gravitation and cosmology: structural questions and applications
Grantee:Elcio Abdalla
Support Opportunities: Research Projects - Thematic Grants