From Big Crunch to Big Bang with AdS/CFT
Abstract
The AdS/CFT correspondence is used to describe fivedimensional cosmology with a big crunch singularity in terms of superYangMills 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 selfadjoint 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 scaleinvariance of the dual theory is that a nearly scaleinvariant spectrum of stressenergy perturbations is automatically generated in the boundary theory. We comment on implications for more realistic cosmologies.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.1824
 Bibcode:
 2007arXiv0711.1824T
 Keywords:

 High Energy Physics  Theory;
 Astrophysics
 EPrint:
 4 pages