Published January 2011 | Version v1
Journal article

On the Uq[sl(2)] Temperley–Lieb reflection matrices

  • 1. Departamento de Física, Universidade Federal de São Carlos, Caixa Postal 676, CEP 13569-905 São Carlos (Brazil)

Description

This work concerns the boundary integrability of the spin-s Uq[sl(2)] Temperley–Lieb model. A systematic computation method is used to construct the solutions of the boundary Yang–Baxter equations. For s half-integer, a general 2s(s + 1) + 3/2 free parameter solution is presented. It turns that for s integer, the general solution has 2s(s + 1) + 1 free parameters. Moreover, some particular solutions are discussed

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-5468/2011/01/P01009

Additional details

Identifiers

DOI
10.1088/1742-5468/2011/01/P01009;
PII
S1742-5468(11)78087-6;

Publishing Information

Journal Title
Journal of Statistical Mechanics
Journal Volume
2011
Journal Issue
01
Journal Page Range
[14 p.]
ISSN
1742-5468

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46004194
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATRICES; REFLECTION; SL GROUPS; SPIN
Descriptors DEC
ANGULAR MOMENTUM; EQUATIONS; LIE GROUPS; PARTICLE PROPERTIES; SYMMETRY GROUPS