# De Sitter holography and entanglement entropy

@article{Dong2018DeSH, title={De Sitter holography and entanglement entropy}, author={Xi Dong and Eva M Silverstein and Gonzalo Torroba}, journal={Journal of High Energy Physics}, year={2018}, volume={2018}, pages={1-24} }

A bstractWe propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d + 1 dimensions involves two coupled CFT sectors constrained by residual d-dimensional gravity. In the d = 2 case, the gravitational constraints and the CFT spectrum are relatively tractable. We identify a finite portion of each CFT Hilbert space relevant for de Sitter. Its maximum energy level… Expand

#### 45 Citations

Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy

- Physics
- 2021

Using entanglement in dS/CFT correspondence, we show that a 4-dimensional de Sitter spacetime in the bulk fluctuates. We calculated the fluctuations of the entanglement entropy, which backreacts with… Expand

Some information theoretic aspects of de-Sitter holography

- Physics
- 2019

Built on our observation that entangling surfaces of the boundary field theory are great co-dimension one spheres in the context of DS/dS correspondence, we study some information theoretic… Expand

De Sitter space and entanglement

- Physics
- 2019

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a… Expand

Entropy, entanglement and swampland bounds in DS/dS

- Physics
- Journal of High Energy Physics
- 2019

A bstractWe calculate the entanglement entropy of the de-Sitter (dS) static patch in the context of the DS/dS correspondence. Interestingly, we find that there exists a one parameter family of bulk… Expand

Entanglement entropy and $$ T\overline{T} $$ deformations beyond antipodal points from holography

- Physics
- Journal of High Energy Physics
- 2019

Abstract
We consider the entanglement entropies in dS
d
sliced (A)dS
d+1 in the presence of a hard radial cutoff for 2 ≤ d ≤ 6. By considering a one parameter family of analytical solutions,… Expand

Holographic Renyi entropy from quantum error correction

- Physics
- Journal of High Energy Physics
- 2019

A bstractWe study Renyi entropies Sn in quantum error correcting codes and compare the answer to the cosmic brane prescription for computing S˜n≡n2∂nn−1nSn$$ {\tilde{S}}_n\equiv… Expand

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions.

- Physics
- 2020

Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field… Expand

Holographic spacetimes as quantum circuits of path-integrations

- Physics
- Journal of High Energy Physics
- 2018

A bstractWe propose that holographic spacetimes can be regarded as collections of quantum circuits based on path-integrals. We relate a codimension one surface in a gravity dual to a quantum circuit… Expand

Low-dimensional de Sitter quantum gravity

- Physics
- 2019

We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories… Expand

Non-equilibrium dynamics in Holography

- Physics
- 2020

In this thesis, we investigate aspects of non-equilibrium dynamics of strongly coupled field theories within holography. We establish a hydrodynamic description for anomalous quantum field theories… Expand

#### References

SHOWING 1-10 OF 82 REFERENCES

Entanglement Renyi entropies in holographic theories

- Physics
- 2010

Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic eld theory. The von Neumann entropy is a special case of… Expand

A covariant holographic entanglement entropy proposal

- Physics
- 2007

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal… Expand

Holographic entanglement entropy for general higher derivative gravity

- Physics
- 2014

A bstractWe propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors. Our formula… Expand

The gravity dual of Rényi entropy

- Physics, Medicine
- Nature communications
- 2016

It is shown that all Rényi entropies satisfy a similar area law in holographic theories and are given by the areas of dual cosmic branes, a one-parameter generalization of the minimal surface prescription for entanglement entropy. Expand

Entanglement in Lifshitz-type quantum field theories

- Physics
- 2017

A bstractWe study different aspects of quantum entanglement and its measures, including entanglement entropy in the vacuum state of a certain Lifshitz free scalar theory. We present simple intuitive… Expand

FRW Solutions and Holography from Uplifted AdS/CFT

- Physics
- 2012

Starting from concrete AdS/CFT dual pairs, one can introduce ingredients which produce cosmological solutions, including metastable de Sitter and its decay to non-accelerating FRW. We present simple… Expand

Holographic framework for eternal inflation

- Physics
- 2006

In this paper we provide some circumstantial evidence for a holographic duality between bubble nucleation in an eternally inflating universe and a Euclidean conformal field theory (CFT). The… Expand

Entanglement between two interacting CFTs and generalized holographic entanglement entropy

- Physics
- 2014

A bstractIn this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical… Expand

Holographic duality from random tensor networks

- Physics, Mathematics
- 2016

A bstractTensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many of… Expand

Spacetime from unentanglement

- Physics
- 2017

Author(s): Nomura, Y; Rath, P; Salzetta, N | Abstract: © 2018 authors. Published by the American Physical Society. The past decade has seen a tremendous effort toward unraveling the relationship… Expand