Brane new world

By S. Hawking, T. Hertog, Harvey Reall. 2000

151 citations recorded by the source corpus.

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti\char21{}de Sitter space with a strongly coupled large N conformal field theory living on the wall. The AdS-CFT correspondence allows a fully quantum mechanical treatment of this CFT, in contrast with the usual treatment of matter fields in inflationary cosmology. The conformal anomaly of the CFT provides an effective tension which leads to a de Sitter geometry for the domain wall. This is the analogue of Starobinsky's four dimensional model of anomaly driven inflation. Studying this model in a Euclidean setting gives a natural choice of boundary conditions at the horizon. We calculate the graviton correlator using the Hartle-Hawking ``no boundary'' proposal and analytically continue to Lorentzian signature. We find that the CFT strongly suppresses metric perturbations on all but the largest angular scales. This is true independently of how the de Sitter geometry arises, i.e., it is also true for four dimensional Einstein gravity. Since generic matter would be expected to behave like a CFT on small scales, our results suggest that tensor perturbations on small scales are far smaller than predicted by all previous calculations, which have neglected the effects of matter on tensor perturbations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9bbe2c60d1dd4e87b171ca7f68dc728cd8cee7f4

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Citations in the corpus

Quantum Black Holes as Holograms in AdS Braneworlds (2002, unknown): “In the bulk, this corresponds to an AdS-Schwarzschild solution, where the singularity is hidden by a horizon at a finite distance from the brane [47, 19, 48, 49], although the anomaly vanishes.”
FRIEDMANN–ROBERTSON–WALKER BRANE COSMOLOGICAL EQUATIONS FROM THE FIVE-DIMENSIONAL BULk (A)dS BLACK HOLE (2002, background): “As one sees in the next section, the meaning becomes more clear from the AdS/CFT correspondence (see Appendix A) if we consider the brane universe in the bulk spacetime, which expresses the AdS black hole [18].”
Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions (2001, background): “Massive type IIA supergravity is an interesting theory which seems to be the most suitable arena for realizing de Sitter compactifications or Randall-Sundrum models [22] on manifolds with boundary.”