Some comments on embedding inflation in the AdS/CFT correspondence

TL;DR

This paper explores how embedding inflationary models with de Sitter spaces into the AdS/CFT framework can provide insights into string theory landscapes, bubble dynamics, and holographic entropy bounds.

Contribution

It introduces bubble solutions with de Sitter interiors in AdS/CFT, analyzing their properties and implications for holography and entropy interpretation.

Findings

Bubble solutions with de Sitter interiors are compatible with holographic bounds.

Perturbations lead to null singularities from spacelike infinity.

De Sitter entropy can be interpreted as degrees of freedom in effective field theory.

Abstract

The anti-de Sitter space/conformal field theory correspondence (AdS/CFT) can potentially provide a complete formulation of string theory on a landscape of stable and metastable vacua that naturally give rise to eternal inflation. As a model for this process, we consider bubble solutions with de Sitter interiors, obtained by patching together dS and Schwarzschild-AdS solutions along a bubble wall. For an interesting subclass of these solutions the bubble wall reaches spacelike infinity in the black hole interior. Including the effects of perturbations leads to a null singularity emanating from this point. Such solutions are interpreted as states in a single CFT, and are shown to be compatible with holographic entropy bounds. The construction suggests de Sitter entropy be interpreted as the total number of degrees of freedom in effective field theory, with a novel adaptive stepsize cutoff.