Lectures on Gravity and Entanglement

Abstract

The AdS/CFT correspondence provides quantum theories of gravity in which spacetime and gravitational physics emerge from ordinary non-gravitational quantum systems with many degrees of freedom. Recent work in this context has uncovered fascinating connections between quantum information theory and quantum gravity, suggesting that spacetime geometry is directly related to the entanglement structure of the underlying quantum mechanical degrees of freedom and that aspects of spacetime dynamics (gravitation) can be understood from basic quantum information theoretic constraints. In these notes, we provide an elementary introduction to these developments, suitable for readers with some background in general relativity and quantum field theory. The notes are based on lectures given at the CERN Spring School 2014, the Jerusalem Winter School 2014, the TASI Summer School 2015, and the Trieste Spring School 2015.

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Cited by in corpus (35)

• Entanglement entropy: holography and renormalization group
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Evolution of complexity following a quantum quench in free field theory
• Holo-ween
• The holographic entropy arrangement
• Holographic Complexity in dS${}_{d+1}$
• Double Local Quenches in 2D CFTs and Gravitational Force
• Phases of Holographic Interfaces
• On Vacuum Fluctuations in Quantum Gravity and Interferometer Arm Fluctuations
• Bridging the static patches: de Sitter holography and entanglement
• Time development of conformal field theories associated with $L_1$ and $L_{-1}$ operators
• Unambiguous Phase Spaces for Subregions
• Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions
• Discrete Gravity on Random Tensor Network and Holographic Rényi Entropy
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• QNEC2 in deformed holographic CFTs
• A note on retrodiction and machine evolution
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Positive gravitational subsystem energies from CFT cone relative entropies
• Closed FRW holography: A time-dependent ER=EPR realization
• Holographic teleportation in higher dimensions
• Extracting Hawking Radiation Near the Horizon of AdS Black Holes
• Conformal symmetry breaking in holographic QCD
• Holographic networks for (1+1)-dimensional de Sitter spacetime
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• $SU(\infty )$ Quantum Gravity and Cosmology
• Quasinormal Modes and Shadows of Black Holes in Infinite Derivative Theory of Gravity
• Boundary and bulk notions of transport in the AdS${}_3$/CFT${}_2$ correspondence
• Spacing Statistics of Energy Spectra: Random Matrices, Black Hole Thermalization, and Echoes
• Realize Emergent Gravity to Generic Situations
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• Entanglement in a Maxwell Theory coupled to a non-relativistic particle
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes