Published July 1993 | Version v1
Journal article

Crystal base and q-vertex operators

  • 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