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arXiv · 2112.04326

HKLL bulk reconstruction for small $\Delta$

Sinya Aoki·János Balog
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Abstract

We discuss the extension of the HKLL (Hamilton, Kabat, Lifschytz, and Lowe) bulk reconstruction for non-interacting scalar fields corresponding to conformal weights $\Delta$ smaller than the original condition $\Delta > d-1$. We give explicit formulas for the cases $d-2<\Delta\leq d-1$ and $\Delta=d-s$ with integer $s$. In the latter case we show that smearing CFT fields over a region of the boundary consisting of points light-like separated from the bulk point is sufficient for bulk reconstruction, whereas in general smearing over all light-like and space-like separated points is required.

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Sinya Aoki, János Balog. 2021-12-08. HKLL bulk reconstruction for small $\Delta$. https://doi.org/10.1007/jhep02(2022)015

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