Three-point correlators from string amplitudes: Mixing and Regge spins

TL;DR

This paper computes three-point correlators in string theory, revealing how conformal structures emerge from vertex operators and confirming results with Mellin amplitudes and supergravity, advancing understanding of operator mixing and Regge trajectories.

Contribution

It introduces a method to compute three-point functions involving higher spin operators using string vertex operators, connecting conformal invariance with string-theoretic structures.

Findings

Confirmed agreement with Mellin amplitude results

Derived new three-point functions for various operators

Demonstrated natural emergence of conformal structures from vertex tensors

Abstract

This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the string-duals of the operators. We then compute the three-point functions for protected or unprotected scalar operators with higher spin operators on the leading Regge trajectory. Here we see that the nontrivial spatial structures required by conformal invariance arise naturally from the form of the polarization tensors in the vertex operators. We find agreement with recent results extracted from Mellin amplitudes for four-point functions, as well as with earlier supergravity calculations. We also obtain some new results for other combinations of operators.