# Consistency Conditions for an AdS/MERA Correspondence

@inproceedings{Bao2015ConsistencyCF, title={Consistency Conditions for an AdS/MERA Correspondence}, author={Ning Bao and ChunJun Cao and S. Carroll and Aidan Chatwin-Davies and Nicholas Hunter-Jones and Jason Pollack and Grant N. Remmen}, year={2015} }

The Multi-scale Entanglement Renormalization Ansatz (MERA) is a tensor network that provides an efficient way of variationally estimating the ground state of a critical quantum system. The network geometry resembles a discretization of spatial slices of an AdS spacetime and “geodesics” in the MERA reproduce the Ryu–Takayanagi formula for the entanglement entropy of a boundary region in terms of bulk properties. It has therefore been suggested that there could be an AdS/MERA correspondence…

## 16 Citations

Spacetime Symmetries and Conformal Data in the Continuous Multiscale Entanglement Renormalization Ansatz.

- Physics, MedicinePhysical review letters
- 2017

This Letter investigates the extent to which the cMERA state |Ψ^{Λ}⟩ with finite UV cutoff Λ can capture the spacetime symmetries of the ground state; and argues that these results should also apply to interacting theories.

Exploring the tensor networks/AdS correspondence

- Physics
- 2016

A bstractIn this paper we study the recently proposed tensor networks/AdS correspondence. We found that the Coxeter group is a useful tool to describe tensor networks in a negatively curved space.…

6.S899 Project Report Tensor Networks, Quantum Error Correction, and AdS/CFT

- Mathematics
- 2015

In recent years, the high energy physics community has become increasingly interested in entanglement, especially since it seems that, in some sense, spacetime itself may arise from entanglement [1].…

Integral geometry and holography

- Physics
- 2015

A bstractWe present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS3/CFT2 correspondence. A key concept is kinematic space: an…

Entanglement renormalization and integral geometry

- Physics
- 2015

A bstractWe revisit the applications of integral geometry in AdS3 and argue that the metric of the kinematic space can be realized as the entanglement contour, which is defined as the additive…

cMERA as Surface/State Correspondence in AdS/CFT

- Physics
- 2015

We present how the surface/state correspondence, conjectured in arXiv:1503.03542, works in the setup of AdS3/CFT2 by generalizing the formulation of cMERA. The boundary states in conformal field…

Prepared for submission to JHEP SU-ITP-15 / 07 SLAC-PUB-16293 Integral Geometry and Holography

- 2015

We present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS3/CFT2 correspondence. A key concept is kinematic space: an auxiliary…

Conformal Properties of Hyperinvariant Tensor Networks

- Mathematics
- 2020

Hyperinvariant tensor networks (hyMERA) were introduced as a way to combine the successes of perfect tensor networks (HaPPY) and the multiscale entanglement renormalization ansatz (MERA) in…

Emergent geometry, thermal CFT and surface/state correspondence

- Physics
- 2017

Abstract We study a conjectured correspondence between any codimension-two convex surface and a quantum state (SS-duality for short). By applying thermofield double formalism to the SS-duality, we…

1 . 1 Could one replace AdS / CFT correspondence with TGD version of holography ?

- 2019

Preskill et all suggest a highly interesting representation of holography in terms of quantum error correction codes The idea is that time= constant section of AdS, which is hyperbolic space allowing…

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