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

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

2010-07-16

arxiv.org/abs/1007.2720v2

JHEP 1101:015,2011

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, subsection on crossing symmetry added

Scientific paper

10.1007/JHEP01(2011)015

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.

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