Quantum Resolution of Cosmological Singularities using AdS/CFT

Mathematics – Logic

Scientific paper

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Cosmology, General Properties Of Perturbation Theory, M Theory, String And Brane Phenomenology

Scientific paper

I review recent work with Ben Craps and Thomas Hertog[1] on the quantum resolution of cosmological singularities using the AdS/CFT correspondence. In particular, we study a five dimensional cosmology, showing that one can define a consistent quantum evolution of the dual boundary theory across the classical singularity. An intriguing consequence of the instability, approximate scale-invariance, and asymptotic freedom of the boundary theory is that an approximately scale-invariant spectrum of stress-energy perturbations is generated. I briefly comment on four dimensional generalizations and the implications for cosmological perturbations in the bulk.

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