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

TL;DR

This paper computes specific four-point functions in string theory on AdS3 x S3 x T4, revealing factorization properties and comparing results with dual boundary theory, advancing understanding of holographic correlators.

Contribution

It provides explicit calculations of extremal and non-extremal four-point functions in AdS3/CFT2, highlighting factorization and matching with boundary correlators.

Findings

Non-extremal correlators factorize into three-point functions.

Results agree with recent boundary theory computations.

Analysis of a non-extremal correlator involving chiral and anti-chiral operators.

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.