Operator product expansion in the SL 2 conformal field theory

نویسندگان

  • Kazuo Hosomichi
  • Yuji Satoh
چکیده

We discuss the operator product expansion (OPE) in the models with the SL2 affine symmetry. For this purpose, we calculate the correlation functions of the primary fields with definite SL2 weights. By using them and extending the arguments in the literature, we show that the OPE with one primary field in a degenerate representation is correctly obtained. We also study the OPE among the primary fields in the spectrum recently proposed for the SL(2, R) WZW model. We argue that the OPE with one primary field in a discrete series unitary representation is consistent with the tensor products of the SL(2, R) representations. The cases involving the winding sectors are also discussed. May 2001 [email protected] [email protected]

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تاریخ انتشار 2001