Published September 11, 2000 | Version v1
Journal article

Integrability of the D2n vertex models with open boundary

Description

We investigate various aspects of the integrability of the vertex models associated to the Dn2 affine Lie algebra with open boundaries. We first study the solutions of the corresponding reflection equation compatible with the minimal symmetry of this system. We find three classes of general solutions, one diagonal solution and two non-diagonal families with a free parameter. Next we perform the Bethe ansatz analysis for some of the associated open D22 spin chains and we identify the boundary having quantum group invariance. We also discuss a new D22 R-matrix

Additional details

Identifiers

PII
S0550321300002595;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
583
Journal Issue
3
Journal Page Range
p. 721-738
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35027311
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; GRADED LIE GROUPS; QUANTUM FIELD THEORY; R MATRIX; SPIN; VERTEX FUNCTIONS
Descriptors DEC
ANGULAR MOMENTUM; FIELD THEORIES; FUNCTIONS; LIE GROUPS; MATHEMATICAL SOLUTIONS; MATRICES; PARTICLE PROPERTIES; SYMMETRY GROUPS

Optional Information

Copyright
Copyright (c) 2000 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.