Braid matrices and structure constants for minimal conformal models
type: Item
instance of: scholarly article
title: Braid matrices and structure constants for minimal conformal models
zbMATH Open document ID: 0696.17009
DOI: 10.1007/BF01218454
author: N. E. Zubov
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The authors study a class of conformal field theories, which they call Dotsenko-Fateev models. Their central charge is of the form \(13-\lambda - \lambda^{-1}\) where \(\lambda\) is a complex number; when \(\lambda\) is a rational (real) number, they reduce to minimal models. The braid group representations corresponding to the monodromy of the conformal blocks is computed, and shown to be related to quantum groups with parameters \(q=\exp (2\pi \lambda)\) and \(\exp (2\pi \lambda^{-1})\). Crossing symmetry in the model is also related to quantum groups.
reviewed by: Andrew N. Pressley
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 4139995
zbMATH Keywords: conformal blocks
zbMATH Keywords: conformal field theories
zbMATH Keywords: Dotsenko-Fateev models
zbMATH Keywords: central charge
zbMATH Keywords: braid group representations
zbMATH Keywords: quantum groups
zbMATH Keywords: crossing symmetry
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01218454
OpenAlex ID: W2087880934
description: scientific article; zbMATH DE number 4139995