Towards a dS/MERA correspondence

Abstract

Recent advances have suggested that spacetime itself emerges from the entanglement of the quantum degrees of freedom living on the boundary. In the case of the AdS spacetimes, a particular class of tensor networks has been shown to realize the same via Multi-Scale Entanglement Renormalization Ansatz (MERA). In this paper we suggest a prescription for the dS/MERA correspondence and recover a discrete version of de Sitter Penrose diagram by using the MERA on conformal theories identified with the future/past conformal boundaries of the de Sitter spacetime. As anticipated, time appears as the emergent direction. We comment on the possible interpretation that the de Sitter cosmological horizon entropy involves entanglement with degrees of freedom across the cosmological horizon as well as the implications of our construction for cosmology.

Clarified arguments made on the holographic nature of the model in Section IV, updated to match version published in IJMP-D

References in corpus (8)

• The Effective Field Theory of Inflation
• A class of quantum many-body states that can be efficiently simulated
• Writing CFT correlation functions as AdS scattering amplitudes
• Tensor Networks from Kinematic Space
• de Sitter extremal surfaces
• A tensor network quotient takes the vacuum to the thermal state
• Comments on Entanglement Entropy in the dS/CFT Correspondence
• Entanglement, Tensor Networks and Black Hole Horizons

Cited by in corpus (10)

• De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity
• A defect in holographic interpretations of tensor networks
• Surface growth scheme for bulk reconstruction and tensor network
• Entanglement distillation toward minimal bond cut surface in tensor networks
• Thread/State correspondence: from bit threads to qubit threads
• Holographic networks for (1+1)-dimensional de Sitter spacetime
• Towards a Fisher-information description of complexity in de Sitter universe
• Overlapping qubits from non-isometric maps and de Sitter tensor networks
• Entanglement renormalization for quantum fields with boundaries and defects
• Entanglement renormalization and symmetry fractionalization