Abstract
We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3 × S 3 × 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.
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Cardona, C.A., Kirsch, I. Worldsheet four-point functions in AdS3/CFT2 . J. High Energ. Phys. 2011, 15 (2011). https://doi.org/10.1007/JHEP01(2011)015
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DOI: https://doi.org/10.1007/JHEP01(2011)015