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    Paper   IPM / P / 6516
       School of Physics
      Title: A Unified Scheme for Modular Invariant Partition Functions of WZW Models
      Author(s):
    1 . M.R. Abolhasani
    2 . F. Ardalan
      Status: Published
      Journal: Int. J. Mod. Phys. A
      No.: 16
      Vol.: 9
      Year: 1994
      Pages: 2707-2739
      Supported by: IPM
      Abstract:
    We introduce a unified method which can be applied to any WZW model at arbitrary level to search systematically for modular invariant physical partition functions. Our method is based essentially on modding out a known theory on group manifold G by a discrete group G. We apply our method to ∧su(n) with n=2, 3, 4, 5, 6 and to ∧g2 models, and obtain all the known partition functions and some new ones, and give explicit expressions for all of them.

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