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Three-point functions and operator product expansion in the SL(2) conformal field theory

Yuji Satoh
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Abstract

In the SL(2) conformal field theory, we write down and analyze the analytic expression of the three-point functions of generic primary fields with definite SL(2) weights. Using these results, we discuss the operator product expansion in the SL(2,R) WZW model. We propose a prescription of the OPE, the classical limit of which is in precise agreement with the tensor products of the representations of SL(2,R).

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Yuji Satoh. 2002-02-19. Three-point functions and operator product expansion in the SL(2) conformal field theory. https://doi.org/10.1016/s0550-3213(02)00127-x

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