Graviton Mass and Entanglement Islands in Low Spacetime Dimensions
arXiv:2312.13336 · doi:10.21468/SciPostPhys.19.6.146
Abstract
It has been conjectured and proven that entanglement island is not consistent with long-range (massless) gravity in a large class of spacetimes, including typical asymptotically anti-de Sitter spacetimes, in high spacetime dimensions. The conjecture and its proof are motivated by the observation that existing constructions of entanglement islands in high dimensions are all in gravitational theories where the graviton is massive for which the standard gravitational Gauss' law doesn't apply. In this letter, we show that this observation persists to lower dimensional cases. We achieve this goal by providing a unified description of the gravitational Gauss' law violation in island models that can work in any dimensions. This unified description teaches us new lessons on entanglement islands and subregion physics in quantum gravity. We focus on the case of the (1+1)-dimensional Jackiw-Teitelboim (JT) gravity for the purpose of demonstration.
arXiv comment6 pages, 2 Figures, comments are welcome! v2, minor revisions, Appendix/Supplementary Material added
References in corpus (33)
- Gauge Theory Correlators from Non-Critical String Theory
- Information in Black Hole Radiation
- Replica Wormholes and the Entropy of Hawking Radiation
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The Page curve of Hawking radiation from semiclassical geometry
- Locally Localized Gravity
- Causality & holographic entanglement entropy
- Massive Islands
- Information Transfer with a Gravitating Bath
- Entanglement islands in higher dimensions
- Islands outside the horizon
- Information radiation in BCFT models of black holes
- Inconsistency of Islands in Theories with Long-Range Gravity
- The Quantum Gravity Dynamics of Near Extremal Black Holes
- On the Dynamics of Near-Extremal Black Holes
- Diffeomorphism-invariant observables and their nonlocal algebra
- Observables, gravitational dressing, and obstructions to locality and subsystems
- The Holographic Nature of Null Infinity
- Islands and Page curves in 4d from Type IIB
- The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
- Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
- 3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS
- Failure of the split property in gravity and the information paradox
- Holography from the Wheeler-DeWitt equation
- Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
- Non-Local Effects of Multi-Trace Deformations in the AdS/CFT Correspondence
- Complementarity of the Maldacena and Karch-Randall Pictures
- Information transfer with a twist
- Islands and Light Gravitons in type IIB String Theory
- Holography of information in massive gravity using Dirac brackets
- State-dressed local operators in the AdS/CFT correspondence
- Holography and Localization of Information in Quantum Gravity
- Open AdS/CFT via a Double Trace Deformation