On correlation functions of operators dual to classical spinning string states

Abstract

We explore how to compute, classically at strong coupling, correlation functions of local operators corresponding to classical spinning string states. The picture we obtain is of `fattened' Witten diagrams, the evaluation of which turns out to be surprisingly subtle and requires a modification of the naive classical action due to a necessary projection onto appropriate wave functions. We examine string solutions which compute the simplest case of a two-point function and reproduce the right scaling with the anomalous dimensions corresponding to the energies of the associated spinning string solutions. We also describe, under some simplifying assumptions, how the spacetime dependence of a conformal three-point correlation function arises in this setup.

Figures (2)

• Figure 1: Standard Witten diagram for a two point function representing an exchange of a supergravity field and a 'fattened' version representing the exchange of a classical spinning string state.
• Figure 2: A Witten diagram for a three point correlation function.