We study the portion of an asymptotically Anti-de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal two-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can reach parametrically far outside of the entanglement wedge. If the setting is furthermore holographic, so that the bulk geometry is dual to a state in a conformal field theory (CFT), these minimal two-surface areas can be deduced from the expectation values of operators localized within the boundary subregion. This presents us with an alternative: either the reduced CFT state encodes significant information about the bulk beyond the entanglement wedge, challenging conventional intuition about holographic subregion duality, or the reduced CFT state fails to contain information about operators whose expectation values give the areas of minimal two-surfaces anchored within that subregion, challenging conventional intuition about the holographic dictionary.
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MIT, Ctr Theoret Phys, Cambridge, MA 02139 USAMIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
Akers, Chris
Rath, Pratik
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Univ Calif Berkeley, Ctr Theoret Phys, Berkeley, CA 94720 USA
Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
Lawrence Berkeley Natl Lab, Berkeley, CA 94720 USAMIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
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Asia Pacific Ctr Theoret Phys, Pohang 37673, South KoreaAsia Pacific Ctr Theoret Phys, Pohang 37673, South Korea
Jain, Parul
Jokela, Niko
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Univ Helsinki, Dept Phys, POB 64, FIN-00014 Helsinki, Finland
Univ Helsinki, Helsinki Inst Phys, POB 64, FIN-00014 Helsinki, FinlandAsia Pacific Ctr Theoret Phys, Pohang 37673, South Korea
Jokela, Niko
Jarvinen, Matti
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Asia Pacific Ctr Theoret Phys, Pohang 37673, South Korea
Pohang Univ Sci & Technol, Dept Phys, Pohang 37673, South KoreaAsia Pacific Ctr Theoret Phys, Pohang 37673, South Korea
Jarvinen, Matti
Mahapatra, Subhash
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Natl Inst Technol Rourkela, Dept Phys & Astron, Rourkela 769008, IndiaAsia Pacific Ctr Theoret Phys, Pohang 37673, South Korea