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.
Subregion Complementarity in AdS/CFT
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abstract
We examine the bulk reconstruction in the AdS/CFT correspondence. We demonstrate that the subregion duality fails to hold, highlighting discrepancies between operators in causal wedge reconstruction and those in global reconstruction at the leading order in the large $N$ limit. We argue the invalidity of the entanglement wedge reconstruction based on the holographic quantum error correction code, attributing it to non-perturbative finite $N$ effects or quantum gravity effects due to the trans-Planckian modes near the horizon. Nevertheless, we propose the subregion complementarity, illustrating that different CFT operators can describe a bulk subregion. While we expect that this complementarity is valid outside the horizon in general eternal black holes, it is inapplicable for single-sided black holes where a semi-classical description at the stretched horizon is absent.
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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 of order the cutoff.
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.
citing papers explorer
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Entanglement Wedge Reconstruction without Holographic Quantum Error Correction
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.
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Rindler Physics with a UV Cutoff on the Lattice
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 of order the cutoff.
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Finite N Black Holes through the Brick Wall
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.