Operator product expansion in SL(2) conformal field theory

Details Operator product expansion in SL(2) conformal field theory Operator product expansion in SL(2) conformal field theory

2001-05-29

arxiv.org/abs/hep-th/0105283v6

Mod.Phys.Lett. A17 (2002) 683-693

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, discussion on primaries added, shortened version to appear in MPL A

Scientific paper

10.1142/S021773230200703X

In the conformal field theories having affine SL(2) symmetry, we study the operator product expansion (OPE) involving primary fields in highest weight representations. For this purpose, we analyze properties of primary fields with definite SL(2) weights, and calculate their two- and three-point functions. Using these correlators, we show that the correct OPE is obtained when one of the primary fields belongs to the degenerate highest weight representation. We briefly comment on the OPE in the SL(2,R) WZNW model.

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