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Causal structures and nonlocality in double holography

Omiya, Hidetoshi, Wei, Zixia·2022·Journal of High Energy Physics

Abstract

Double holography plays a crucial role in recent studies of Hawking radiation and information paradox by relating an intermediate picture, in which a dynamical gravity living on an end-of-the-world brane is coupled to a non-gravitational heat bath, to a much better-understood BCFT picture as well as a bulk picture. In this paper, causal structures in generic double holographic setups are studied. We find that the causal structure in the bulk picture is compatible with causality in the BCFT picture, thanks to a generalization of the Gao-Wald theorem. On the other hand, consistency with the bulk causal structure requires the effective theory in the intermediate picture to contain a special type of super-luminal and nonlocal effect which is significant at long range or IR. These are confirmed by both geometrical analysis and commutators of microscopic fields. Subregion correspondences in double holography are discussed with the knowledge of this nonlocality. Possible fundamental origins of this nonlocality and its difference with other types of nonlocality will also be discussed.

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  • Concerns that double-holography leads to superluminal signalling are ameliorated when the brane description is treated as an effective theory, such that ETW brane models are consistent with causality.

    “Concerns that double-holography leads to superluminal signalling[60] are ameliorated when the brane description is treated as an effective theory, such that ETW brane models are consistent with causality[61].”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [60]

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Metadata

Authors
Omiya, H., & Wei, Z.
Venue
Journal of High Energy Physics
Published
2022-07
Volume
2022
Issue
7
ISSN
1029-8479
Cited by
35
References
18
Language
en

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