Conformal Complementarity Maps

Abstract

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. We calculate the commutation relation between the Hamiltonians corresponding to the different frames. It vanishes only on scale invariant states.

38 pages, 9 figures

References in corpus (6)

• Holographic models of de Sitter QFTs
• AdS Crunches, CFT Falls And Cosmological Complementarity
• Insightful D-branes
• A Holographic Dual of CFT with Flavor on de Sitter Space
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• On Bubbles of Nothing in AdS/CFT

Cited by in corpus (14)

• State-Dependent Bulk-Boundary Maps and Black Hole Complementarity
• Comments on the Necessity and Implications of State-Dependence in the Black Hole Interior
• Holographic Complexity And Cosmological Singularities
• On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
• Modular discretization of the AdS2/CFT1 Holography
• Smooth Causal Patches for AdS Black Holes
• AdS/dS CFT Correspondence
• Terminal Holographic Complexity
• Probing crunching AdS cosmologies
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• When UV and IR Collide: Inequivalent CFTs From Different Foliations Of AdS
• Quasinormal modes and holographic correlators in a crunching AdS geometry
• Limitations of holography
• Nonequilibrium dynamics of the O(N) model on dS_3 and AdS crunches