Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
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In spaces with a negative cosmological constant, the asymptotic diffeomorphism of anti-de Sitter space is the conformal group of the asymptotic boundary.
“In spaces with a negative cosmological constant, Brown and Henneaux (1986) discovered that the asymptotic diffeomorphism of anti-de Sitter space is the conformal group of the asymptotic boundary.”
From Noether's Theorems and Energy in General Relativity (2021) · cites this paper as Brown and Henneaux (1986)
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- Authors
- Brown, J. D., & Henneaux, M.
- Affiliations
- The University of Texas at Austin (US)
- Venue
- Communications in Mathematical Physics
- Published
- 1986-06
- Volume
- 104
- Issue
- 2
- Pages
- 207-226
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2090069870
- Cited by
- 2,605
- References
- 0
- Citations by year
- 2026: 87 · 2025: 150 · 2024: 135 · 2023: 110 · 2022: 147 · 2021: 120 · 2020: 152 · 2019: 119 · 2018: 116 · 2017: 108 · 2016: 140 · 2015: 111 · 2014: 110 · 2013: 110 · 2012: 108
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- central charge, asymptotic symmetries, three-dimensional gravity, negative cosmological constant, Virasoro algebra, central extensions, canonical realization, global charges, gauge theory, boundary conditions at infinity
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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