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BF description of higher-dimensional gravity theories
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In the first-order formalism, pure three-dimensional gravity is just the BF theory.Similarly, four-dimensional general relativity can be formulated as BF theory with an additional constraint term added to the Lagrangian.In this paper we show
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“Important results were already obtained in the canonical loop quantum gravity approach [117], and a first attempt to perform this derivation in the context of a spin foam model in 3D is in [118], but a complete and satisfactory procedure in the four-dimensional case is still missing and would be of paramount importance.”
From Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity (2001) · cites this paper as [118]
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Metadata
- Authors
- Freidel, L., Krasnov, K., & Puzio, R.
- Affiliations
- École Normale Supérieure de Lyon (FR)
- Pennsylvania State University (US)
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 1999
- Volume
- 3
- Issue
- 5
- Pages
- 1289-1324
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2963328975
- Cited by
- 137
- References
- 19
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 9 · 2021: 3 · 2020: 5 · 2019: 4 · 2018: 2 · 2017: 2 · 2016: 4 · 2015: 3 · 2014: 5 · 2013: 10 · 2012: 8
- FWCI
- 4.36
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9514240)
- University of Pennsylvania
- Pennsylvania State University
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- BF theory, higher-dimensional gravity, first-order formalism, three-dimensional gravity, general relativity, Lagrangian constraints
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