Canonical quantum supergravity in three dimensions
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Work on circularly symmetric midi-superspace models has led to unexpected bounds on the Hamiltonian.
“Certain matter couplings in supergravity have been studied [104, 196], and work on circularly symmetric “midi-superspace models” has led to some surprising results, including unexpected bounds on the Hamiltonian [27, 32, 137, 53, 265, 224].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [196]
Section 3 discusses when a sigma-model Hamiltonian is positive definite, but does not connect that result to circularly symmetric midi-superspace models or unexpected Hamiltonian bounds. Searches for circular symmetry, midi-superspace, and Hamiltonian bounds found no passage addressing the attributed claim. (LLM, conf=0.76)
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Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
Lectures on Non-Perturbative Canonical Gravity
Ashtekar, A. (1991) · Advanced Series in Astrophysics and Cosmology · doi:10.1142/1321 · Cited by 872 · see citing works
Solutions to the Wheeler DeWitt constraint of canonical gravity coupled to scalar matter fields
Matschull, H. J. (1993) · Classical and Quantum Gravity · doi:10.1088/0264-9381/10/9/007 · Cited by 5 · see citing works
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Research works printed but not linked: 13
- C.J. Isham, in Proc. Recent aspects of quantum fields, Schladming, 1991, ed.
- H. Mitter and H. Gausterer (Springer, Berlin, 1991)
- M. Green, J.H. Schwarz and E. Witten, Superstring theory, Vols. I, II (Cambridge U.P., Cam- bridge, 1987)
- P. Ginsparg and G. Moore, Lectures on 2D gravity and 2D string theory, Yale preprint YCTP-P23- 92 [hep-th/9304011] · arXiv
- M. Forger, J. Laartz and U. Schaper, Commun. Math. Phys. 146 (1992) 397; Freiburg preprint THEP-92-24 (1992)
- B. Julia, in Superspace and supergravity, eds. SW. Hawking and M. Rocek (Cambridge U.P., Cambridge, 1980);
- H. Nicolai, in Proc. Recent aspects of quantum fields, Schladming, 1991, eds. H. Mitter and H. Gausterer (Springer, Berlin, 1991)
- P.C. West, Introduction to supersymmetry and supergravity (World Scientific, Singapore, 1986)
- R. Arnowitt, S. Deser and C.W. Misner, in Gravitation: an introduction to current research, ed. L. Witten (Wiley, New York, 1962)
- R. Courant and D. Hilbert, Methoden der mathematischen Physik (Springer, Berlin, 1968)
- T. Sano and J. Shiraishi, The nonperturbative canonical quantization of the N = 1 supergravity, Tokyo preprint UT-622 (1992)
- P. D'Eath, Physical states in N = 1 supergravity, Cambridge preprint (1993)
- D. Page, Inconsistency of canonically quantized N = 1 supergravity?, Alberta preprint Thy-28-93 lhep-th/9306032]
Cited by
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Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951 · see citing works
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
- Matschull, H.-J., & Nicolai, H.
- Affiliations
- Universität Hamburg (DE)
- ORCID
- Nicolai, H.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1994-01
- Volume
- 411
- Issue
- 2-3
- Pages
- 609-646
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2597561619
- Cited by
- 28
- References
- 3
- Citations by year
- 2026: 1 · 2019: 1 · 2018: 1 · 2016: 1 · 2015: 1 · 2014: 1 · 2013: 5
- FWCI
- 1.61
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- OpenGrey (Institut de l'Information Scientifique et Technique) (submittedVersion)
- DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron) (submittedVersion, other-oa)
- Desy publication database (The Deutsches Elektronen-Synchrotron) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- Max Planck Digital Library (submittedVersion, other-oa)
- arXiv (Cornell University)
- DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron)
- 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
- three-dimensional supergravity, N=2 supergravity, canonical quantization, local supersymmetry, method of characteristics, coset sigma models, matter-coupled supergravity
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