Three-point functions of semiclassical string states and conserved currents inAdS4×CP3

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 Â CP 3 , which are pointlike 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.

Some semiclassical structure constants for AdS4 × CP 3

“…Classical integrability [10] and giant magnon solutions have been studied in [11]- [14]. The HHL 3-point functions have been computed for various string states in AdS 4 × CP 3 [15]- [19]. In this paper, we will focus on finite-size effects of some normalized structure constants in AdS 4 × CP 3 in semiclassical limit where the heavy string states are finite-size giant magnons.…”