Eternal black holes and superselection in AdS/CFT
Open accessAbstract
It has been argued (i) that Lorentz-signature solutions with wormholes connecting n asymptotically AdS regions describe bulk quantum states dual to n entangled but non-interacting CFTs and (ii) that such bulk wormhole states should be identified with similar entangled but non-interacting bulk systems, each describing quantum geometries with only a single asymptotic region. But if the wormhole is to behave semiclassically, we show that conjecture (ii) cannot hold. Instead, the theory of asymptotically AdS bulk quantum gravity must admit superselection sectors with respect to the CFT observables that are labeled by the type of wormhole connections allowed between black holes. Moreover, these superselection sectors are indistinguishable in the dual CFT. Finally, we describe restrictions on the possible superselection sectors associated with the spin-statistics relation and the expectation that black holes lying in distinct asymptotically AdS regions may be approximated by well-separated black holes in a single asymptotically AdS region.
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If we only consider half of the space, we will get a mixed state on that half.
“This implies that if we only consider half of the space, for example half of flat space, we will get a mixed state on that half.”
From The entropy of Hawking radiation (2021) · cites this paper as [47]
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- Authors
- Marolf, D., & Wall, A. C.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2012-12-14
- Volume
- 30
- Issue
- 2
- Pages
- 025001
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2084681147
- Cited by
- 89
- References
- 5
- Citations by year
- 2026: 7 · 2025: 3 · 2024: 3 · 2023: 5 · 2022: 3 · 2021: 11 · 2020: 9 · 2019: 2 · 2018: 5 · 2017: 8 · 2016: 8 · 2015: 5 · 2014: 9 · 2013: 10 · 2012: 1
- FWCI
- 3.60
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0855415, 25915)
- Foundational Questions Institute
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- AdS/CFT correspondence, superselection sectors, wormholes, black holes, spin-statistics theorem, quantum geometry
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