Published September 2016 | Version v1
Journal article

Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain

  • 1. Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124 (United States)
  • 2. Departamento de Física, Universidade Federal de São Carlos, Caixa Postal 676, CEP 13565-905, São Carlos (Brazil)

Description

We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with "free" boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2016.04.044

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2016.04.044;
arXiv
arXiv:1601.04328v2;
PII
S0550-3213(16)30082-7;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
910
Journal Page Range
p. 885-909
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48065157
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
BOUNDARY CONDITIONS; EIGENVALUES; EIGENVECTORS; EQUATIONS; MATHEMATICAL SOLUTIONS; REFLECTION; SIMULATION; SPIN
Descriptors DEC
ANGULAR MOMENTUM; PARTICLE PROPERTIES

Optional Information

Copyright
Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.