Holographic three-point correlators in the Schrodinger/dipole CFT correspondence

TL;DR

This paper computes three-point correlation functions involving heavy operators in the Schrodinger/dipole CFT at strong coupling, revealing results consistent with non-relativistic conformal symmetry and introducing new string solutions.

Contribution

First calculation of three-point functions with heavy operators in Schrodinger/dipole CFT, including novel string solutions and scaling functions.

Findings

Results match non-relativistic conformal invariance predictions

Provides leading term of correlators in large lambda expansion

Introduces new string solutions without undeformed counterparts

Abstract

We calculate, for the first time, three-point correlation functions involving "heavy" operators in the Schrodinger/null-dipole CFT correspondence at strong coupling. In particular, we focus on the three-point functions of the dilaton modes and two "heavy" operators. The heavy states are dual to the single spin and dyonic magnon, the single spin and dyonic spike solutions or to two novel string solutions which do not have an undeformed counterpart. Our results provide the leading term of the correlators in the large $\lambda$ expansion and are in perfect agreement with the form of the correlator dictated by non-relativistic conformal invariance. We also specify the scaling function which can not be fixed by using conformal invariance.