On the way to Brane New World

TL;DR

This paper explores quantum effects in brane-world cosmology, demonstrating self-consistent de Sitter universe creation, gravity localization, and connections between CFT entropy and cosmological bounds within the AdS/CFT framework.

Contribution

It introduces a quantum brane-world model incorporating supersymmetry, anomaly-induced actions, and analyzes graviton localization, extending understanding of quantum cosmology and entropy bounds.

Findings

Quantum creation of de Sitter brane universe demonstrated.

Gravity is localized on quantum-corrected branes.

CFT entropy at horizons relates to FRW equations and bounds.

Abstract

In this report we consider brane-world universe (New Brane World) where an arbitrary large $N$ quantum CFT exists on the domain wall. This corresponds to implementing of Randall-Sundrum compactification within the context of AdS/CFT correspondence. Using anomaly induced effective action for domain wall CFT, the possibility of self-consistent quantum creation of 4d de Sitter wall universe (inflation) is demonstrated. In case of maximally SUSY Yang-Mills theory the exact correspondence with radius and effective tension found by Hawking-Hertog-Reall is obtained. We also discuss the bosonic sector of 5d gauged supergravity with single scalar and taking the boundary action as predicted by supersymmetry and discuss the possibility to supersymmetrize dilatonic New Brane World. It is demonstrated that for a number of superpotentials the flat SUSY dilatonic brane-world (with dynamically induced brane dilaton) or quantum-induced de Sitter dilatonic brane-world (not Anti-de Sitter one) where SUSY is broken by the quantum effects occurs. The analysis of graviton perturbations indicates that gravity is localized on such branes. New Brane World is useful in the study of FRW dynamics and cosmological entropy bounds. Brane stress tensor is induced by quantum effects of dual CFT and brane crosses the horizon of AdS black hole. The similarity between CFT entropy at the horizon and FRW equations is extended on the quantum level. This suggests the way to understand cosmological entropy bounds in quantum gravity.