# Gravitation in flat spacetime from entanglement

@article{Godet2019GravitationIF, title={Gravitation in flat spacetime from entanglement}, author={Victor Godet and C. Marteau}, journal={arXiv: High Energy Physics - Theory}, year={2019} }

We explore holographic entanglement entropy for Minkowski spacetime in three and four dimensions. Under some general assumptions on the putative holographic dual, the entanglement entropy associated to a special class of subregions can be computed using an analog of the Ryu-Takayanagi formula. We refine the existing prescription in three dimensions and propose a generalization to four dimensions. Under reasonable assumptions on the holographic stress tensor, we show that the first law of… Expand

#### 13 Citations

Entanglement Wedge in Flat Holography and Entanglement Negativity

- Physics
- 2021

We establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual (1 + 1)-dimensional Galilean conformal field theories in the context of flat space… Expand

First law of entanglement entropy in flat-space holography

- Physics
- 2019

According to flat/Bondi-Metzner-Sachs invariant field theories (BMSFT) correspondence, asymptotically flat spacetimes in $(d+1)$-dimensions are dual to $d$-dimensional BMSFTs. In this duality,… Expand

Geometric actions and flat space holography

- Physics
- 2019

In this paper we perform the Hamiltonian reduction of the action for three- dimensional Einstein gravity with vanishing cosmological constant using the Chern-Simons formulation and Bondi-van der… Expand

Flat space holography and the complex Sachdev-Ye-Kitaev model

- Physics
- 2020

We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless… Expand

Flat space holography and complex SYK

- Physics
- 2019

Hamid Afshar, 2, ∗ Hernán A. González, † Daniel Grumiller, ‡ and Dmitri Vassilevich 5, § Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8, A-1040 Vienna, Austria School of Physics,… Expand

Non-Lorentzian Chaos and Cosmological Holography

- Physics
- 2021

Arjun Bagchi,1, ∗ Shankhadeep Chakrabortty,2, † Daniel Grumiller,3, ‡ Bharathkumar Radhakrishnan,4, 5, § Max Riegler,6, ¶ and Aditya Sinha7, ∗∗ Indian Institute of Technology, Kanpur, 208016 India… Expand

First Law and Quantum Correction for Holographic Entanglement Contour

- Physics
- 2021

Entanglement entropy satisfies a first law-like relation, which equates the first order perturbation of the entanglement entropy for the region A to the first order perturbation of the expectation… Expand

BMS modular diaries: torus one-point function

- Physics
- 2020

Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions. In this paper, we continue our… Expand

Flat-space limit of extremal curves

- Physics
- 2020

According to the Ryu-Takayanagi prescription, the entanglement entropy of subsystems in the boundary conformal field theory (CFT) is proportional to the area of extremal surfaces in bulk… Expand

Modular Hamiltonians in flat holography and (W)AdS/WCFT

- Physics
- 2020

We study several aspects of holographic entanglement in two models known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. These are two examples of holography beyond AdS/CFT where the the boundary field… Expand

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