TASI Lectures on the Emergence of the Bulk in AdS/CFT

Abstract

These lectures review recent developments in our understanding of the emergence of local bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction, the quantum error correction interpretation of the correspondence, tensor network models of holography, and the quantum Ryu-Takayanagi formula.

Dedicated to the memory of Joe Polchinski: an inspiring physicist, a thoughtful mentor, and a wonderful human being. v2: References added, and also a table of contents. v3: section 4.3 improved substantially, also a few more references

References in corpus (9)

• Holographic representation of local bulk operators
• Causality & holographic entanglement entropy
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Constructing local bulk observables in interacting AdS/CFT
• Consistency Conditions for an AdS/MERA Correspondence
• CFT representation of interacting bulk gauge fields in AdS
• Poking Holes in AdS/CFT: Bulk Fields from Boundary States
• Crunches, Hats, and a Conjecture
• The Three Faces of a Fixed Point

Cited by in corpus (26)

• Exploring 2-Group Global Symmetries
• Constraints on symmetry from holography
• Flat entanglement spectra in fixed-area states of quantum gravity
• Complexity of Mixed States in QFT and Holography
• Quantum Information in Holographic Duality
• Towards Bulk Metric Reconstruction from Extremal Area Variations
• Aspects of The First Law of Complexity
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim Gravity
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• Bulk Locality in AdS/CFT Correspondence
• Holographic Relative Entropy in Infinite-dimensional Hilbert Spaces
• Observer-dependent black hole interior from operator collision
• Entanglement Wedge Reconstruction of Infinite-dimensional von Neumann Algebras using Tensor Networks
• Bulk reconstruction for spinor fields in AdS/CFT
• More of the Bulk from Extremal Area Variations
• Unambiguous Phase Spaces for Subregions
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
• Understanding holographic error correction via unique algebras and atomic examples
• Quantum gravity tomography
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$
• Introduction to Gauge/Gravity Duality (TASI Lectures 2017)
• Holographic Space-time and Quantum Information
• A simple analysis of the mixed-state information metric in AdS${}_3$/CFT${}_2$
• Quantum Information for Particle Theorists