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<p>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 <i>a</i> analogous to a CFT boundary region, the simple wedge <i>z</i>(<i>a</i>) is the largest wedge accessible by a “zigzag,” a certain sequence of antinormal lightsheets. We show that <i>z</i>(<i>a</i>) is a throat, and that it is contained in every other throat. This implies that <i>z</i>(<i>a</i>) is unique; that it is contained in the generalized entanglement wedge; and that it reduces to the AdS prescription as a special case.</p><p>The zigzag explicitly constructs a preferred Cauchy slice that renders the simple wedge accessible from <i>a</i>; 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.</p>

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Simple holography in general spacetimes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月2日

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  • Raphael Bousso,
  • Elisa Tabor

摘要

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.