The Boundary Dual of Bulk Local Operators
| Autor: | Sanches, Fabio, Weinberg, Sean J. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 96, 026004 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.96.026004 |
| Popis: | We provide a procedure to determine if a given nonlocal operator in a large N holographic CFT is dual to a local bulk operator on the geometry associated with a particular code subspace of the CFT. This procedure does not presuppose knowledge of the bulk geometry. We are able to pick out local operators in a large region of the bulk, called the "localizable region,"' that can extend beyond event horizons in certain cases. The method relies heavily on the quantum-error correcting structure of AdS/CFT and, in particular, on entanglement wedge reconstruction. As a byproduct of this machinery, we are able to reconstruct the metric in the localizable region up to a conformal factor. This suggests a connection between our program and the recent light-cone cut approach to bulk reconstruction. Comment: 16 pages, 7 figures; v2: 18 pages, 7 figures, corrections and clarifications (conclusions unchanged), references added |
| Databáze: | arXiv |
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