Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

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

Joseph A. Minahan, Raul Pereira

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.

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

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.

Paper Structure

This paper contains 9 sections, 130 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Review of previous results
  3. Extremal correlators and operator mixing
  4. Three-point couplings with spin
  5. The operators and corresponding string states
  6. The building blocks
  7. Structure constants
  8. Discussion
  9. Vertex function contractions

Figures (1)

  • Figure 1: We represent each polarization $\epsilon_i$ by a circle with $S_i$ indices. The lines connecting two polarization tensors correspond to contractions of their indices. The leftover indices are contracted with the momenta. The allowed structures correspond to the different ways of connecting the three polarization tensors.