Operator product expansion in SL(2) conformal field theory

Abstract

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.

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

References in corpus (4)

• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Correlators in AdS_3 string theory
• Comments On String Theory
• Three-point functions and operator product expansion in the SL(2) conformal field theory

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