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 (20)

• The holographic entropy arrangement
• Holographic Complexity in dS${}_{d+1}$
• Bridging the static patches: de Sitter holography and entanglement
• Unambiguous Phase Spaces for Subregions
• Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• A note on retrodiction and machine evolution
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Conformal symmetry breaking in holographic QCD
• Closed FRW holography: A time-dependent ER=EPR realization
• 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
• Quasinormal Modes and Shadows of Black Holes in Infinite Derivative Theory of Gravity
• $SU(\infty )$ Quantum Gravity and Cosmology
• 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
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff