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Vertex operators in the conformal field theory on P 1 and monodromy representations of the braid group

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Abstract

Vertex operators (primary fields) are constructed for the conformal field theory on P 1 by means of A 1 (1) modules. The commutation relations of vertex operators induce monodromy representations of the braid group on the spaces of vacuum expectations of compositions of vertex operators.

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Authors and Affiliations

  1. Department of Mathematics, Nagoya University, 464, Nagoya, Japan

    Akihiro Tsuchiya

  2. Department of Mathematics, Mie University, Kamihama, 514, Tsu, Japan

    Yukihiro Kanie

Authors
  1. Akihiro Tsuchiya
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  2. Yukihiro Kanie
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Tsuchiya, A., Kanie, Y. Vertex operators in the conformal field theory on P 1 and monodromy representations of the braid group. Lett Math Phys 13, 303–312 (1987). https://doi.org/10.1007/BF00401159

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  • DOI: https://doi.org/10.1007/BF00401159

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