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arxiv 2508.11592 v1 pith:UWWGCIG7 submitted 2025-08-15 hep-th

Holography at Finite N: Breakdown of Bulk Reconstruction for Subregions

classification hep-th
keywords bulkblackoperatorsads-rindlerfiniteholeinformationlarge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Within AdS/CFT, focusing on the AdS-Rindler wedge, we show that when $N$ is large but finite, correlation functions of reconstructed bulk operators grow exponentially with bulk momentum, overwhelming the usual $1/N$ suppression. The growth starts when the smeared operator's ultraviolet scale goes beyond a critical value $\Lambda_{crit} = \frac{2}{\pi}\ln N$, which is far below the Planck scale. Above this logarithmic threshold, the large $N$ expansion ceases to be reliable, and the would-be bulk operators cannot be consistently defined as observables in the full quantum gravity theory. Since the AdS-Rindler wedge describes the near-horizon region of black holes, this result implies a sharp $\ln N$ cutoff for reconstructing bulk operators across horizons. This has a direct impact on whether and how information from the black hole interior is encoded-a central question in the black hole information paradox.

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Cited by 3 Pith papers

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

  1. Entanglement Wedge Reconstruction without Holographic Quantum Error Correction

    hep-th 2026-07 conditional novelty 6.0

    A locality-based commutant argument shows that finite-N holographic CFTs lack the protected logical sector required for holographic quantum error correction, leaving only region-by-region entanglement wedge reconstruction.

  2. Rindler Physics with a UV Cutoff on the Lattice

    hep-th 2026-04 unverdicted novelty 6.0

    Lattice regularization of Rindler QFT shows the Unruh effect survives operationally for distant observables even though exact thermality is lost at the state level, with wave packets reflected at a stretched horizon o...

  3. Finite N Black Holes through the Brick Wall

    hep-th 2026-06 unverdicted novelty 5.0

    Reinterprets the brick-wall model as an effective description of finite-N departures from the semiclassical near-horizon continuum in AdS/CFT, producing residual reflections and model-dependent echoes.