Quantum Cosmology and AdS/CFT

TL;DR

This paper explores the creation of brane-worlds within Anti-de Sitter spaces, deriving wavefunctions for simple cases, extending to higher dimensions, and discussing implications in the context of the AdS/CFT correspondence.

Contribution

It provides a new wavefunction expression for brane-world creation in AdS spaces and extends the analysis to higher dimensions within the WKB approximation.

Findings

Wavefunction for spherically symmetric brane-world creation derived

Extension of brane-world creation analysis to higher-dimensional AdS spaces

Discussion of brane-world scenarios in light of AdS/CFT correspondence

Abstract

In this paper we study the creation of brane-worlds in $AdS$ bulk. We first consider the simplest case of onebranes in $AdS_3$. In this case we are able to properly describe the creation of a spherically symmetric brane-world deriving a general expression for its wavefunction. Then, we sketch the $AdS_{d+1}$ set-up within the context of the WKB approximation. Finally, we comment on these scenarios in light of the $AdS/CFT$ correspondence.