Published July 1993
| Version v1
Journal article
Crystal base and q-vertex operators
Creators
- 1. Osaka Univ., Toyonaka (Japan). Dept. of Mathematical Science
- 2. Kyoto Univ. (Japan). Dept. of Mathematics
Description
The q-deformed vertex operators of Frenkel and Reshetikhin are studied in the framework of Kashiwara's crystal base theory. It is shown that the vertex operators preserve the crystal structure, and are naturlly labeled by the global crystal base. As an application the one point functions are calculated for the associated elliptic RSOS models, following the scheme of Kang et al. developed for the trigonometric vertex models. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 155
- Journal Issue
- 1
- Journal Page Range
- p. 47-69.
- ISSN
- 0010-3616
- CODEN
- CMPHAY
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 25004087
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; ANALYTICAL SOLUTION; CRYSTAL LATTICES; CRYSTAL MODELS; EQUATIONS; FIELD ALGEBRA; FIELD OPERATORS; LIE GROUPS; QUANTUM MECHANICS; R MATRIX; TRANSFER MATRIX METHOD; VERTEX FUNCTIONS; WEIGHTING FUNCTIONS
- Descriptors DEC
- CALCULATION METHODS; CRYSTAL STRUCTURE; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICS; MATRICES; MECHANICS; QUANTUM OPERATORS; SYMMETRY GROUPS