Caustics bounding entanglement wedges
arXiv:1912.09515 · doi:10.1007/JHEP06(2020)166
Abstract
We study the caustics on the boundaries of entanglement wedges in the context of holography in asymptotically AdS spacetimes. These entanglement wedges play an important role in our understanding of the emergence of bulk locality. A procedure was proposed by Sanches and Weinberg [arXiv:1703.07780] for identifying boundary operators which are local in the bulk, which also applies to certain regions that lie beyond the reach of HRT surfaces by taking advantage of the lightsheets which bound entanglement wedges. We identify the caustics which terminate these lightsheets in conical deficit and BTZ black hole spacetimes and find that in some examples these caustics lead to a sharp corner in the entanglement wedge. The unexpected shape of these entanglement wedges leads, in those cases, to a breakdown of this procedure. Many of the properties of the rich variety of caustics possible in higher dimensions remains to be explored which, as this work demonstrates, could lead to more unexpected features in the shapes of entanglement wedges.
arXiv comment32 pages, 8 figures. Typos fixed and minor clarifications added
References in corpus (25)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- The Black Hole in Three Dimensional Space Time
- A Covariant Holographic Entanglement Entropy Proposal
- Black holes and the butterfly effect
- Bulk Locality and Quantum Error Correction in AdS/CFT
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Relative entropy equals bulk relative entropy
- Holographic representation of local bulk operators
- Gravitation from Entanglement in Holographic CFTs
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- The Gravity Dual of a Density Matrix
- Bulk locality from modular flow
- A Stereoscopic Look into the Bulk
- Causal Holographic Information
- Extremal surfaces as bulk probes in AdS/CFT
- Entwinement and the emergence of spacetime
- Holographic entanglement plateaux
- Entanglement, Holography and Causal Diamonds
- Light-sheets and AdS/CFT
- Casting Shadows on Holographic Reconstruction
- String Theory on AdS Orbifolds
- Local bulk physics from intersecting modular Hamiltonians
- Entwinement in discretely gauged theories
- Entanglement versus entwinement in symmetric product orbifolds
- The Boundary Dual of Bulk Local Operators