Conformal Complementarity Maps

Understand

We study quantum cosmological models for certain classes of bang/crunch singularities, using the duality between expanding bubbles in AdS with a FRW interior cosmology and perturbed CFTs on de Sitter space-time.

• It is pointed out that horizon complementarity in the AdS bulk geometries is realized as a conformal transformation in the dual deformed CFT.
• The quantum version of this map is described in full detail in a toy model involving conformal quantum mechanics.
• In this system the complementarity map acts as an exact duality between eternal and apocalyptic Hamiltonian evolutions.