Towards a dS/MERA correspondence

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SUMMARY

The discussion centers on the dS/MERA correspondence, which proposes that spacetime emerges from the entanglement of quantum degrees of freedom on the boundary, similar to the AdS spacetimes realized through Multi-Scale Entanglement Renormalization Ansatz (MERA). The authors, Raj Sinai Kunkolienkar and Kinjal Banerjee, introduce a method to derive a discrete version of the de Sitter Penrose diagram using MERA on conformal theories linked to the de Sitter spacetime's conformal boundaries. They highlight that time emerges as a directional aspect and explore the implications of cosmological horizon entropy related to entanglement across the horizon.

PREREQUISITES
  • Understanding of Multi-Scale Entanglement Renormalization Ansatz (MERA)
  • Familiarity with de Sitter (dS) and Anti-de Sitter (AdS) spacetimes
  • Knowledge of quantum entanglement and its implications in cosmology
  • Basic grasp of Penrose diagrams and their significance in spacetime representation
NEXT STEPS
  • Research the application of MERA in quantum gravity contexts
  • Study the implications of dS/CFT correspondence in higher spin gravity
  • Investigate the role of entanglement entropy in cosmological horizons
  • Explore the relationship between conformal field theories and spacetime geometry
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and researchers interested in quantum gravity, particularly those exploring the connections between quantum entanglement and spacetime structure.

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http://arxiv.org/abs/1611.08581
Towards a dS/MERA correspondence

Raj Sinai Kunkolienkar, Kinjal Banerjee
(Submitted on 25 Nov 2016)
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.
 
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Hmm, very interesting - I thought dS/CFT was dead!

Now with some googling, I remember the Amninos, Hartman and Strominger dS/CFT for higher spin gravity. But I think they didn't then know how to realize it for Einstein gravity.
 

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