Correlators of massive string states with conserved currents

TL;DR

This paper computes correlation functions involving massive string states and conserved currents within the AdS/CFT framework, confirming theoretical predictions and exploring the structure of 4-point correlators at strong coupling.

Contribution

It provides the first strong coupling calculations of these correlators, validating field theory predictions and analyzing the implications of conformal symmetry on 4-point functions.

Findings

Correlation functions match all-loop predictions from Ward identities.

Strong coupling factorisation of 4-point correlators is consistent with conformal symmetry.

Constraints on 4-point correlators involving R-currents and stress-energy tensor are identified.

Abstract

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field theory Ward identities make predictions about the all-loop behaviour of these correlators. In particular, they restrict the fusion coefficient to be proportional to the R-charge of the operators or to their dimension, respectively, with certain coefficients of proportionality. We reproduce these predictions, at strong coupling, using string theory. Furthermore, we point out that the recently observed strong coupling factorisation of 4-point correlators is consistent with conformal symmetry and puts constraints on the strong coupling expressions of 4-point correlators involving R-currents or the stress-energy tensor.