Worldsheet correlators in AdS(3)/CFT(2)

TL;DR

This paper computes specific correlation functions in AdS_3/CFT_2 and finds excellent agreement between string theory and conformal field theory results, extending checks beyond supergravity.

Contribution

It provides the first detailed comparison of 2- and 3-point functions of chiral primary operators in AdS_3/CFT_2 beyond supergravity approximation.

Findings

Excellent agreement between string and CFT correlators at small string coupling

Validation of AdS_3/CFT_2 correspondence beyond supergravity

Explicit calculations of sphere correlators for chiral primaries

Abstract

The AdS_3/CFT_2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2- and 3-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x S^3 x T^4. These results are then compared with the corresponding amplitudes in the dual 2-dimensional conformal field theory. In the limit of small string coupling, where the sphere diagrams dominate the string perturbation series, beautiful agreement is found.