Brane World Inflation Induced by Quantum Effects

TL;DR

This paper explores how quantum effects in a brane-world setup can induce inflationary expansion of the universe, linking AdS/CFT correspondence with domain wall cosmology and analyzing specific quantum field theories.

Contribution

It demonstrates the self-consistent quantum creation of a 4d de Sitter universe on a brane using anomaly-induced effective action, connecting quantum CFT effects with brane-world inflation.

Findings

Quantum effects can induce inflation in brane-world models.

Exact correspondence with known solutions for maximally SUSY Yang-Mills theory.

Exotic matter with unusual central charge sign can produce hyperbolic universe geometries.

Abstract

We consider brane-world universe where an arbitrary large $N$ quantum CFT is living 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. The hyperbolic wall Universe may be induced by quantum effects only for exotic matter (higher derivatives conformal scalar) which has unusual sign of central charge.