Graviton and Scalar Two-Point Functions in a CDL Background for General Dimensions

TL;DR

This paper calculates scalar and graviton two-point functions in a CDL instanton background across various dimensions, exploring potential holographic dualities and their boundary theories.

Contribution

It provides analytical expressions for two-point functions in a general-dimensional CDL background and discusses their implications for holographic duality.

Findings

Analytical two-point functions for scalars and gravitons in CDL backgrounds.

Insights into possible holographic dual boundary theories.

Framework for examining holography in cosmological instanton backgrounds.

Abstract

We compute the two-point functions of the scalar and graviton in a Coleman-De Luccia type instanton background in general dimensions. These are analytically continued to Lorentzian signature. We write the correlator in a form convenient for examining the "holographic" properties of this background inspired by the work of Freivogel, Sekino, Susskind and Yeh(FSSY). Based on this, we speculate on what kind of boundary theory we would have on this background if we assume that there exists a holographic duality.