In the context of Einstein gravity coupled to matter satisfying fairly general energy conditions, cosmological singularities are unavoidable, as was proven by Hawking and Penrose many year ago. One of the hopes for superstring theory is that a solution to this problem may be found. Clearly, however, a non-perturbative formulation of string theory must be used. The AdS/CFT correspondence is a proposed definition of non-perturbative string theory (including gravity) in terms of a conformal field theory which does not involve gravity. It has been conjectured that the AdS/CFT correspondence can be used to resolve cosmological singularities. Initial work in this direction was done by different groups, including Craps-Hertog-Turok, Khoury-Ovrut-Steinhardt-Turok, Skenderis-McFadden, Silverstein-Horowitz and Das-Tridevi. Continua a leggere AdS/CFT, self-adjoint extension and the resolution of cosmological singularities

# AdS/CFT, self-adjoint extension and the resolution of cosmological singularities

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