Revisiting subregion holography using OPE blocks
Abstract
In this short note, we revisit the entanglement wedge representation of AdS bulk fields in terms of CFT operator product expansion (OPE) blocks for a general class of blocks. Given a boundary interval and its associated causal diamond, the OPEs involve boundary operators with or without spin, and located either at spacelike or timelike edges of the diamond. Only for a subset of these cases, can the OPE block be dual to a geodesic bulk field. We show that when applied to de Sitter, a suitable combination of Euclidean OPE blocks can represent a dS scalar integrated over the timelike extremal surfaces, which play an important role in defining pseudo-entropy. We also work out some simple higher dimensional examples.
Cite
@article{arxiv.2406.09027,
title = {Revisiting subregion holography using OPE blocks},
author = {Mrityunjay Nath and Satyabrata Sahoo and Debajyoti Sarkar},
journal= {arXiv preprint arXiv:2406.09027},
year = {2025}
}
Comments
Version 1. 37 pages, 2 figures. Version 2. Various typos corrected. Added explanations, conclusion section and references. Renamed section 5. 41 pages. Matches published version