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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.)

Temperley-Lieb K-matrices

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Author(s):
Lima-Santos, A. [1]
Total Authors: 1
Affiliation:
[1] Univ Fed Sao Carlos, Dept Fis, BR-13569905 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; OCT 2013.
Web of Science Citations: 1
Abstract

This work concerns studies of boundary integrability of the vertex models from representations of the Temperley Lieb algebra associated with the quantum group u(q){[}X-n] for the affine Lie algebras X(n=)A(1)((1)), B-n((1)), C-n((1)) and D-n((1)). A systematic computation method is used to construct solutions of the boundary Yang Baxter equations. We find a 2n(2) + 1 free parameter solution for A(1)((1)) spin-(n 1/2) and C-n((1)) vertex models. It turns out that for A(1)((1)) spin-n, B-n((1)) and D-n((1)) vertex models, the solution has 2n(2) + 2n + 1 free parameters. (AU)

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