Three-dimensional supergravity and the cosmological constant
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Witten has argued that in 2+1 dimensions local supersymmetry can ensure the vanishing of the cosmological constant without requiring the equality of Bose and Fermi masses. We find that this mechanism is implemented in a novel fashion in the (2+1)-dimensional supersymmetric Abelian Higgs model coupled to supergravity. The vortex solitons are annihilated by half of the supersymmetry transformations. The covariantly constant spinors required to define these supersymmetries exist by virtue of a surprising cancellation between the Aharonov-Bohm phase and the phase associated with the holonomy of the spin connection. However the other half of the supersymmetry transformations, whose actions ordinarily generate the soliton supermultiplet, are not well defined and Bose-Fermi degeneracy is consequently absent in the soliton spectrum.
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Witten suggested a mechanism by which supersymmetry in 2+1 dimensions might cancel radiative corrections to Λ without requiring equality of superpartner masses.
“First, Witten has suggested a novel mechanism by which supersymmetry in 2 + 1 dimensions might cancel radiative corrections to Λ without requiring the equality of superpartner masses, essentially because even if the vacuum is supersymmetric, the asymptotics forbid the existence of unbroken supercharges for massive states [281, 52].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [52]
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Research works printed but not linked: 3
- [2]2. E. Witten, 'Is Supersymmetry Really Broken?', talk given at the 'Santa Fe Institute Meeting on String Theory' , 1985, preprint IASSNS-HEP-94-72, hep-th/9409111. · arXiv
- [11]11. See e.g. J. Wess and J. Bagger, 'Supersymmetry and Supergravity', Princeton Univ. Press, Jun 1990.
- [12]12. J. Bagger and E. Witten, Phys. Lett. B118 (1982) 103; J. Bagger, 'Supersymmetric Sigma Models', Lectures given at the ' Bonn-Nato Advanced Study Institute on Supersymmetry ', 1984, preprint SLAC-PUB-3461.
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Becker, K., Becker, M., & Strominger, A.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1995-06-15
- Volume
- 51
- Issue
- 12
- Pages
- R6603-R6607
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2038498431
- Cited by
- 67
- References
- 0
- Citations by year
- 2026: 1 · 2023: 1 · 2019: 4 · 2016: 1 · 2014: 2
- FWCI
- 5.37
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- U.S. Department of Energy (PHY89-04035, 91ER40618)
- Topics
- 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 › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- three-dimensional supergravity, cosmological constant, vortex solitons, supersymmetry breaking, Aharonov-Bohm phase
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