In this paper a holographic description of eternal inflation is developed. We focus on the description of an open Friedmann-Robertson-Walker (FRW) universe that results from a tunneling event in which a false vacuum with positive vacuum energy decays to a supersymmetric vacuum with vanishing cosmological constant. The observations of a “census taker” in the final vacuum can be organized into a holographic dual conformal field theory that lives on the asymptotic boundary of space. We refer to this bulk-boundary correspondence as FRW/CFT duality. The dual conformal field theory (CFT) is a Euclidean two-dimensional theory that includes a Liouville 2D gravity sector describing geometric fluctuations of the boundary. The renormalization-group flow of the theory is richer than in the AdS/CFT correspondence, and generates two space-time dimensions—one spacelike and one timelike. We discuss a number of phenomena such as bubble collisions, and the Garriga, Guth Vilenkin “persistence of memory,” from the dual viewpoint.
Physical Review D
- Pub Date:
- October 2009
- Particle-theory and field-theory models of the early Universe;
- Compactification and four-dimensional models;
- High Energy Physics - Theory
- 71 pages, 16 figures. A preliminary version of the ideas in this paper was reported in arXiv:0710.1129