Double Trace Interfaces

TL;DR

This paper introduces and analyzes renormalization group interfaces between two holographic conformal theories related by a double trace scalar deformation, deriving correlation functions and spectrum at large N, and validating with known results.

Contribution

It provides explicit expressions for correlation functions, spectra, and partition functions of double trace RG interfaces in holographic CFTs, connecting to known boundary g factors and defect overlaps.

Findings

Derived two-point correlation functions of the scalar field.

Computed the spectrum of operators on the interface.

Reproduced known g factors and defect overlaps at large N.

Abstract

We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/N expansion, we derive expressions for the two point correlation functions of the scalar, as well as the spectrum of operators living on the interface. We also compute the interface contribution to the sphere partition function, which in two dimensions gives the boundary g factor. Checks of our proposal include reproducing the g factor and some defect overlap coefficients of Gaiotto's RG interfaces at large N, and the two-point correlation function whenever conformal perturbation theory is valid.