Worldsheet operator product expansions and p-point functions in AdS3/CFT2

TL;DR

This paper develops the operator product expansions for chiral primary operators in the worldsheet theory of strings on AdS_3 x S^3 x T^4 and uses them to derive recursion relations for extremal p-point correlators, comparing with boundary CFT results.

Contribution

It constructs the worldsheet OPEs for chiral primaries in AdS_3/CFT_2 and derives recursion relations for extremal correlators, linking worldsheet and boundary theories.

Findings

Derived recursion relations for extremal p-point functions.

Compared worldsheet OPE results with boundary CFT predictions.

Established consistency between worldsheet and boundary correlators.

Abstract

We construct the operator product expansions (OPE) of the chiral primary operators in the worldsheet theory for strings on AdS_3 x S^3 x T^4. As an interesting application, we will use the worldsheet OPEs to derive a recursion relation for a particular class of extremal p-point correlators on the sphere. We compare our result with the corresponding recursion relation previously found in the symmetric orbifold theory on the boundary of AdS_3.