Four Point Functions in the SL(2,R) WZW Model

Abstract

We consider winding conserving four point functions in the SL(2,R) WZW model for states in arbitrary spectral flow sectors. We compute the leading order contribution to the expansion of the amplitudes in powers of the cross ratio of the four points on the worldsheet, both in the m- and x-basis, with at least one state in the spectral flow image of the highest weight discrete representation. We also perform certain consistency check on the winding conserving three point functions.

15 pages, Latex

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Cited by in corpus (7)

• Spectral Flow in AdS(3)/CFT(2)
• Coulomb integrals for the SL(2,R) WZNW model
• Fusion rules and four-point functions in the AdS3 WZNW model
• More AdS_3 correlators
• On spectrally flowed local vertex operators in AdS${}_3$
• Notes on the SL(2,R) CFT
• Strings and D-branes in curved space-time