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Complexity Equals (Almost) Anything

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arxiv 2403.17475 v1 pith:7FFQ6PU6 submitted 2024-03-26 hep-th gr-qc

Robert C. Myers , Shan-Ming Ruan This is my paper
classification hep-thgr-qc
keywords arxivcomplexityobservablesclassgravitationalspacetimevolumeaction
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Recent investigations [arXiv:2111.02429][arXiv:2210.09647][arXiv:2304.05453] have introduced an infinite class of novel gravitational observables in Asymptotically anti-de Sitter (AdS) space that reside on codimension-one or -zero regions of the bulk spacetime. These observables encompass well-established holographic complexity measures such as the maximum volume of the extremal hypersurfaces and the action or spacetime volume of the Wheeler-DeWitt (WDW) patch. Furthermore, this family of observables exhibits two universal properties when applied to the thermofield double (TFD) state: they exhibit linear growth at late times and faithfully reproduce the switchback effect. This implies that any observable from this class has the potential to serve as a gravitational dual for the circuit complexity of boundary states.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Page transition for the complexity of an evaporating black hole

    hep-th 2026-07 conditional novelty 6.0 of 10

    The complexity of radiation from an evaporating black hole is argued to undergo a sharp Page-like transition, dominated after the Page time by the volume of an island in the entanglement wedge.

  2. Volume as an index of a subalgebra

    hep-th 2025-07 unverdicted novelty 6.0 of 10

    Proposes that the exponential of the maximal volume slice in AdS equals the index of inclusion of boundary subalgebras, but the supplied text is an unrelated astrochemistry paper.

  3. Learning shadows to predict quantum ground state correlations

    quant-ph 2025-07 unverdicted novelty 5.0 of 10

    The manuscript body does not match the claimed paper: the abstract promises a shadow-tomography ground-state scheme, while the text is the Leutheusser-Liu preprint on bulk volume and subalgebra indices.

  4. $R^2$ corrections to Complexity Growth with a Probe String

    hep-ph 2025-07 conditional novelty 4.0 of 10

    In Gauss-Bonnet AdS5, the probe-string complexity growth is maximized at zero velocity, independent of the GB coupling when stationary, and linear in temperature.

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