Abstract
Using the Feigin-Fuchs representation of minimal conformal models in a form introduced recently by one of us, the braid group representation matrices, describing the analytic continuation properties of conformal blocks, are computed. In a suitable normalization, their matrix elements are shown to essentially factorize into pairs of Boltzmann weights of critical RSOS models in a certain limit of the spectral parameter. These Boltzmann weights are related to quantum groupR-matrices by the vertex-SOS transformation. We show that the crossing symmetry of the four-point function in left-right symmetric models follows from a quantum group relation, also called crossing symmetry. This observation gives a simple way to evaluate the structure constants.
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Communicated by A. Jaffe
Supported by NSF grant DMS 8610730
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Felder, G., Fröhlich, J. & Keller, G. Braid matrices and structure constants for minimal conformal models. Commun.Math. Phys. 124, 647–664 (1989). https://doi.org/10.1007/BF01218454
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DOI: https://doi.org/10.1007/BF01218454