Warped vacuum statistics

Basic results in Vacuum Statistics

A review of recent work on constructing and finding statistics of string theory vacua, done in collaboration with Frederik Denef, Bogdan Florea, Bernard Shiffman and Steve Zelditch. To appear in the proceedings of Strings 2004, June 28-July 2, Paris, France. Tout ce qui est simple est faux, mais tout ce qui ne l’est pas est inutilisable.

Critical Vacuum Energy, Warped Geometry and Grand Unification

We explore a mechanism to obtain the observational small value for the 4dimensional vacuum energy through an exponential warp-factor suppression. Intriguingly the required suppression scale relates directly to the GUT scale. We demonstrate the mechanism explicitly in a 5-dimensional brane-world setup with warped geometry. Upon lifting the setup to 10-dimensional IIB string-theory, the relevance...

Warped, Anisotropic Wormhole/Soliton Configurations in Vacuum 5D Gravity

In this paper we apply the anholonomic frames method developed in refs. [1–4] to construct and study anisotropic vacuum field configurations in 5D gravity. Starting with an off–diagonal 5D metric, parameterized in terms of several ansatz functions, we show that using anholonomic frames greatly simplifies the resulting Einstein field equations. These simplified equations contain an interesting f...

Photon statistics of a two-mode squeezed vacuum.

Warped Solitonic Deformations and Propagation of Black Holes in 5D Vacuum Gravity

In this paper we use the anholonomic frames method [1,2] to construct exact solutions for vacuum 5D gravity with metrics having off–diagonal components. The solutions are in general anisotropic and possess interesting features such as an anisotropic warp factor with respect to the extra dimension, or a gravitational scaling/running of some of the physical parameters associated with the solution...