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Simple holography in general spacetimes
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Journal Article
Simple holography in general spacetimes
2025
Overview
A
bstract
The simple or “outermost” wedge in AdS is the portion of the entanglement wedge that can be reconstructed with sub-exponential effort from CFT data. Here we furnish a definition in arbitrary spacetimes: given an input wedge
a
analogous to a CFT boundary region, the simple wedge
z
(
a
) is the largest wedge accessible by a “zigzag,” a certain sequence of antinormal lightsheets. We show that
z
(
a
) is a throat, and that it is contained in every other throat. This implies that
z
(
a
) is unique; that it is contained in the generalized entanglement wedge; and that it reduces to the AdS prescription as a special case.
The zigzag explicitly constructs a preferred Cauchy slice that renders the simple wedge accessible from
a
; thus it adds a novel structure even in AdS. So far, no spacelike construction is known to reproduce these results, even in time-symmetric settings. This may have implications for the modeling of holographic encoding by tensor networks.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,Springer Science and Business Media LLC,SpringerOpen
