Finite action, holographic conformal anomaly and quantum brane-worlds in d5 gauged supergravity

TL;DR

This paper explores the finite action, holographic conformal anomaly, and quantum brane-world constructions within five-dimensional gauged supergravity on AdS backgrounds, highlighting quantum effects and potential inflationary universe creation.

Contribution

It introduces a formalism with an arbitrary dilaton-dependent potential, analyzes the holographic conformal anomaly, and constructs quantum-induced brane-world models with various geometries.

Findings

Finite action and conformal anomaly are computed for d5 gauged supergravity.

Quantum effects enable the creation of inflationary brane-world universes.

Various brane geometries (spherical, hyperbolic, flat) are realized in the model.

Abstract

We report our recent results concerning d5 gauged supergravity (dilatonic gravity) considered on AdS background. The finite action on such background as well as d4 holographic conformal anomaly (via AdS/CFT correspondence) are found. In such formalism the bulk potential is kept to be arbitrary, dilaton dependent function. Holographic RG in such theory is briefly discussed. d5 AdS brane-world Universe induced by quantum effects of brane CFT is constructed. Such brane is spherical, hyperbolic or flat one. Hence, the possibility of quantum creation of inflationary brane-world Universe is shown.