%0 Journal Article %1 Craps2007 %A Craps, Ben %A Hertog, Thomas %A Turok, Neil %D 2007 %K ads/cft cosmology %T Quantum Resolution of Cosmological Singularities using AdS/CFT %U http://arxiv.org/abs/0712.4180 %X The AdS/CFT correspondence allows us to map a dynamical cosmology to a dual quantum field theory living on the boundary of spacetime. Specifically, we study a five-dimensional model cosmology in type IIB supergravity, where the dual theory is an unstable deformation of $\N=4$ supersymmetric SU(N) gauge theory on $\RbarS^3$. A one-loop computation shows that the coupling governing the instability is asymptotically free, so quantum corrections cannot turn the potential around. The big crunch singularity in the bulk occurs when a boundary scalar field runs to infinity, in finite time. Consistent quantum evolution requires that we impose boundary conditions at infinite scalar field, i.e. a self-adjoint extension of the system. We find that quantum spreading of the homogeneous mode of the boundary scalar leads to a natural UV cutoff in particle production as the wavefunction for the homogeneous mode bounces back from infinity. Translating back to the bulk theory, we find that a quantum transition from a big crunch to a big bang is the most probable outcome of cosmological evolution, for a specific parameter range. Intriguingly, the instability and approximate scale-invariance of the boundary theory lead to the generation of an approximately scale-invariant spectrum of stress-energy perturbations on the boundary, whose amplitude is naturally small. We comment on qualitative differences with holographic descriptions of large black holes, on four-dimensional generalizations and on implications for cosmological perturbations.

@article{Craps2007, abstract = { The AdS/CFT correspondence allows us to map a dynamical cosmology to a dual quantum field theory living on the boundary of spacetime. Specifically, we study a five-dimensional model cosmology in type IIB supergravity, where the dual theory is an unstable deformation of $\N=4$ supersymmetric SU(N) gauge theory on $\Rbar\times S^3$. A one-loop computation shows that the coupling governing the instability is asymptotically free, so quantum corrections cannot turn the potential around. The big crunch singularity in the bulk occurs when a boundary scalar field runs to infinity, in finite time. Consistent quantum evolution requires that we impose boundary conditions at infinite scalar field, {\it i.e.} a self-adjoint extension of the system. We find that quantum spreading of the homogeneous mode of the boundary scalar leads to a natural UV cutoff in particle production as the wavefunction for the homogeneous mode bounces back from infinity. Translating back to the bulk theory, we find that a quantum transition from a big crunch to a big bang is the most probable outcome of cosmological evolution, for a specific parameter range. Intriguingly, the instability and approximate scale-invariance of the boundary theory lead to the generation of an approximately scale-invariant spectrum of stress-energy perturbations on the boundary, whose amplitude is naturally small. We comment on qualitative differences with holographic descriptions of large black holes, on four-dimensional generalizations and on implications for cosmological perturbations. }, added-at = {2009-08-13T10:09:50.000+0200}, author = {Craps, Ben and Hertog, Thomas and Turok, Neil}, biburl = {https://www.bibsonomy.org/bibtex/2be26e1c100a358fd432a7437fe863229/jpschaar}, description = {Quantum Resolution of Cosmological Singularities using AdS/CFT}, interhash = {e7c96e7beb0cb673e5c2c909f46e7797}, intrahash = {be26e1c100a358fd432a7437fe863229}, keywords = {ads/cft cosmology}, note = {cite arxiv:0712.4180 Comment: 91 pages, 24 figures; minor reorganization of introduction, clarifying comments throughout}, timestamp = {2009-08-13T10:09:50.000+0200}, title = {Quantum Resolution of Cosmological Singularities using AdS/CFT}, url = {http://arxiv.org/abs/0712.4180}, year = 2007 }