CFTs on Non-Critical Braneworlds

TL;DR

This paper investigates the cosmological evolution of various braneworlds in AdS spacetimes, revealing that their induced geometry resembles a radiation-dominated universe driven by a dual CFT, with careful energy calculations.

Contribution

It provides a detailed analysis of the energy and geometry of non-critical braneworlds, emphasizing the correct form of Newton's constant and the role of dual CFTs.

Findings

Braneworlds exhibit radiation-dominated FRW cosmology.

Bulk energy calculations differ from simple black hole mass sums.

Induced geometry linked to dual CFT radiation.

Abstract

We examine the cosmological evolution equations of de Sitter, flat and anti-de Sitter braneworlds sandwiched in between two n dimensional AdS-Schwarzschild spacetimes. We are careful to use the correct form for the induced Newton's constant on the brane, and show that it would be naive to assume the energy of the bulk spacetime is just given by the sum of the black hole masses. By carefully calculating the energy of the bulk for large mass we show that the induced geometry of the braneworld is just a radiation dominated FRW universe with the radiation coming from a CFT that is dual to the AdS bulk.