From Big Crunch to Big Bang with AdS/CFT

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dc.creatorTurok, Neil
dc.creatorCraps, Ben
dc.creatorHertog, Thomas
dc.date2007-11-12
dc.date2007-12-27
dc.date.accessioned2026-07-07T08:55:26Z
dc.date.available2026-07-07T08:55:26Z
dc.descriptionThe 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.
dc.description4 pages; discussion of backreaction improved, incorporating dependence on width of initial wavepacket
dc.identifierhttps://arxiv.org/abs/0711.1824
dc.identifierhttp://arxiv.org/abs/0711.1824
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146273
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.titleFrom Big Crunch to Big Bang with AdS/CFT
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