Exact chiral ring of AdS(3)/CFT(2)

TL;DR

This paper computes exact three-point correlators of chiral operators in string theory on AdS(3) x S^3 x T^4, revealing precise agreement with boundary CFT predictions and simplifying the understanding of the chiral ring structure.

Contribution

It provides an exact worldsheet calculation of the chiral ring structure in AdS(3)/CFT(2), connecting bulk string theory results with boundary CFT data.

Findings

Exact three-point correlators match boundary CFT predictions.

Simplified factorized form of correlators due to cancelations.

Confirmation of the chiral ring structure in the bulk and boundary theories.

Abstract

We carry out an exact worldsheet computation of tree level three-point correlators of chiral operators in string theory on AdS(3) x S^3 x T^4 with NS-NS flux. We present a simple representation for the string chiral operators in the coordinate basis of the dual boundary CFT. Striking cancelations occur between the three-point functions of the H3+ and the SU(2) WZW models which result in a simple factorized form for the final correlators. We show, by fixing a single free parameter in the H3+ WZW model, that the fusion rules and the structure constants of the N=2 chiral ring in the bulk are in precise agreement with earlier computations in the boundary CFT of the symmetric product of T^4 at the orbifold point in the large N limit.