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arXiv · 2406.09027

Revisiting subregion holography using OPE blocks

Mrityunjay Nath·Satyabrata Sahoo·Debajyoti Sarkar
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Abstract

In this short note, we revisit the entanglement wedge representation of AdS$_3$ 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.

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Mrityunjay Nath, Satyabrata Sahoo, Debajyoti Sarkar. 2024-06-13. Revisiting subregion holography using OPE blocks. https://arxiv.org/abs/2406.09027

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