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A modular toolkit for bulk reconstruction
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We introduce new tools for studying modular flow in AdS/CFT. These tools allow us to efficiently extract bulk information related to causality and locality. For example, we discuss the relation between analyticity in modular time and entanglement wedge nesting which can then be used to extract the location of the Ryu-Takayanagi (RT) surface directly from the boundary theory. Probing the RT surface close to the boundary our results reduce to the recent proof of the Quantum Null Energy Condition. We focus on heavy probe operators whose correlation functions are determined by spacelike geodesics. These geodesics interplay with the RT surface via a set of rules that we conjecture and give evidence for using the replica trick.
Forward citations
Cited by 8 Pith papers
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Geometric Entropies and their Hamiltonian Flows
In JT gravity with higher-derivative scalar couplings, the geometric entropy flow generalizes the BCP kink transformation by adding delta-function singularities in the dilaton and matter fields.
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Uniqueness of null-local modular flow
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Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
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The algebraic structure of gravitational scrambling
The paper builds an operator algebra, the modular-twisted product, that captures black hole scrambling exactly at the scrambling time and reduces to previously known free and tensor product algebras in the appropriate limits.
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Geometric modular flows in 2d CFT and beyond
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Type III von Neumann Algebras are Magical
If lattice states in the thermodynamic limit have bounded magic, the local von Neumann algebra cannot be Type III, so Type III algebras require infinite magic.
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Modular Witten Diagrams and Quantum Extremality
Modular Witten diagrams reproduce the O(λ² G_N) correction to holographic entanglement entropy, matching the canonical energy term in the quantum Ryu-Takayanagi formula with wedge shape deformation.
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The Baby Universe is Fine and the CFT Knows It: On Holography for Closed Universes
A closed universe in AdS/CFT is not ruled out by recent SWAP-test arguments; the one-dimensional Hilbert space seen from the CFT is external indistinguishability, and CFT data can reconstruct the closed universe's geometry.
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