Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3

TL;DR

This paper computes three-point functions involving semiclassical string states and conserved currents in AdS_4 x CP^3, confirming the AdS/CFT correspondence predictions at strong coupling.

Contribution

It provides the first detailed calculation of three-point functions with semiclassical strings and conserved currents in AdS_4/CFT_3, validating theoretical predictions.

Findings

String theory results match Ward identity predictions

Three-point functions are computed at strong coupling

Semiclassical strings are dual to large dimension operators

Abstract

In this paper we study the three-point correlation functions of two scalar operators with large conformal dimensions and the R-current or stress-energy tensor at strong coupling with the help of the AdS_4/CFT_3 correspondence. The scalar operators are dual to semiclassical strings in AdS_4 x CP^3, which are point-like in AdS. We establish thorough concordance between string theory results at large coupling constant and general predictions coming from Ward identities in the dual three-dimensional superconformal gauge theory.