A cross-ratio threshold relation η'/η = e^{ΔH/2} governs entanglement-wedge phase transitions on pure-state holographic geometries, and uberholography's fractal dimension α ≈ 0.786 persists on asymptotic boundaries but not on RT-boundary geodesics.
Revisiting holographic codes with fractal-like boundary erasures
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abstract
In this paper we investigate the code properties of holographic fractal geometries initiated in \cite{Pastawski:2016qrs}. We study reconstruction wedges in $AdS_3/CFT_2$ for black hole backgrounds, which are in qualitative agreement with the vacuum-AdS approximation using generalized entanglement entropy in \cite{Bao:2022tgv}. In higher dimensions, we study reconstruction wedges for the infinite, straight strip in $AdS_{d+1}/CFT_{d}$ and clarify the roles of `straight' and `infinite' in their code properties. Lastly, we comment on uberholography from the perspective of complexity transfer and one-shot holography.
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Phase transitions and uberholography of holographic pure-state geometries
A cross-ratio threshold relation η'/η = e^{ΔH/2} governs entanglement-wedge phase transitions on pure-state holographic geometries, and uberholography's fractal dimension α ≈ 0.786 persists on asymptotic boundaries but not on RT-boundary geodesics.