AdS crunches, CFT falls and cosmological complementarity

José L.F. Barbón*, Eliezer Rabinovici

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

40 Scopus citations

Abstract

We discuss aspects of the holographic description of crunching AdS cosmologies. We argue that crunching FRW models with hyperbolic spatial sections are dual to semiclassical condensates in deformed de Sitter CFTs. De Sitter-invariant condensates with a sharply defined energy scale are induced by effective negative-definite relevant or marginal operators, which may or may not destabilize the CFT. We find this result by explicitly constructing a 'complementarity map' for this model, given by a conformal transformation of the de Sitter CFT into a static time-frame, which reveals the crunch as an infinite potentialenergy fall in finite time. We show that, quite generically, the crunch is associated to a finite mass black hole if the de Sitter O(d, 1)-invariance is an accidental IR symmetry, broken down to U(1) × O(d) in the UV. Any such regularization cuts off the eternity of de Sitter space-time. Equivalently, the dimension of the Hilbert space propagating into the crunch is finite only when de Sitter is not eternal.

Original languageEnglish
Article number44
JournalJournal of High Energy Physics
Volume2011
Issue number4
DOIs
StatePublished - 2011

Keywords

  • AdS-CFT correspondence
  • Gauge-gravity correspondence
  • Spacetime singularities

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