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

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

2001-09-07

arxiv.org/abs/hep-th/0109059v3

Nucl.Phys. B629 (2002) 188-208

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, latex; (v3) discussions added, to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(02)00127-X

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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