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From Big Crunch to Big Bang with AdS/CFT

N. Turok B. Craps 1 T. Hertog 2
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : The AdS/CFT correspondence is used to describe five-dimensional cosmology with a big crunch singularity in terms of super-Yang-Mills theory on R times S^3 deformed by a potential which is unbounded below. Classically, a Higgs field in the dual theory rolls to infinity in finite time. But since the S^3 is finite, the unstable mode spreads quantum mechanically and the singularity is resolved when self-adjoint boundary conditions are imposed at infinity. Asymptotic freedom of the coupling governing the instability gives us computational control and the quantum spreading provides a UV cutoff on particle creation. The bulk interpretation of our result is a quantum transition from a big crunch to a big bang. An intriguing consequence of the near scale-invariance of the dual theory is that a nearly scale-invariant spectrum of stress-energy perturbations is automatically generated in the boundary theory. We comment on implications for more realistic cosmologies.
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Contributor : Simone Lantz <>
Submitted on : Monday, February 18, 2008 - 4:46:32 PM
Last modification on : Wednesday, October 21, 2020 - 4:32:13 PM

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N. Turok, B. Craps, T. Hertog. From Big Crunch to Big Bang with AdS/CFT. 2008. ⟨in2p3-00257218⟩



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