Published July 14, 1997 | Version v1
Journal article

Representation of the boundary elliptic quantum group BEτ,η(sl2) and the Bethe ansatz

  • 1. Institute of Modern Physics, Northwest University, Xian (China)
  • 2. CCAST World Lab., Beijing (China)

Description

We extend the Gervais-Neveu-Felder equation (GNFE) to the boundary case. Using the boundary GNFE, we give a definition of the boundary elliptic quantum group BEτ,η(sl2). The evaluation representation of the boundary elliptic quantum group BEτ,η(sl2) is presented. The Bethe ansatz for the boundary quantum group BEτ,η(sl2) is obtained. In a special case, the obtained Bethe ansatz is similar to the Bethe ansatz of the eight-vertex and the higher spin eight-vertex models with open boundary conditions. (orig.)

Additional details

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
496
Journal Issue
3
Journal Page Range
p. 551-570.
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
28055684
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
BOUNDARY CONDITIONS; CRYSTAL MODELS; EQUATIONS; GROUP THEORY; MATRICES
Descriptors DEC
MATHEMATICAL MODELS; MATHEMATICS