Worldsheet four-point functions in AdS(3)/CFT(2)

Abstract

We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x S^3 x T^4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel. Ignoring also current algebra descendants, we find that in the non-extremal case the integrated worldsheet correlators factorize into spacetime three-point functions, which is non-trivial due to the integration over the moduli space. We then restrict to the extremal case and compare our results with the four-point correlators recently computed in the dual boundary theory. We also discuss a particular non-extremal correlator involving two chiral and two anti-chiral operators.

34 pages, subsection on crossing symmetry added

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Cited by in corpus (13)

• A non-renormalization theorem for chiral primary 3-point functions
• Integrable spin chain for stringy Wess-Zumino-Witten models
• String correlators on ${\text{AdS}}_3$: Three-point functions
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Violating the string winding number maximally in Anti-de Sitter space
• Worldsheet computation of heavy-light correlators
• Ambitwistor Strings and the Scattering Equations on AdS${}_3\times$S${}^3$
• Worldsheet operator product expansions and p-point functions in AdS3/CFT2
• String correlators on ${\text{AdS}}_3$: Four-point functions
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Notes on the SL(2,R) CFT
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Spin-k/2-spin-k/2 SU(2) two-point functions on the torus