Quantum holonomies in (2+1)-dimensional gravity
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An alternative quantization works directly with the holonomy matrices, imposing a quantum-group-like quantization condition.
“An alternative quantization, also differing by terms of order ℏ3, works directly with the holonomy matrices (38), imposing a quantum-group-like quantization condition [208]”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [208]
The introductory discussion following equation (7) describes a new quantization approach that works directly with holonomy matrices satisfying a q-commutation relation, and calls the resulting structure quantum-group-like. The Discussion (p. 7) likewise contrasts matrix variables with earlier trace-based approaches. Our copy does not establish the citing sentence’s additional claim that this quantization differs by terms of order ℏ³. (LLM, conf=0.84)
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Research works printed but not linked: 3
- [7][7] S. Majid, Foundations of Quantum Group Theory, Cambridge University Press, 1995.
- [9][9] J. E. Nelson and R. F. Picken, "Quantum Matrix Pairs", math.QA/9911015. · arXiv
- [11][11] S. Carlip, Quantum Gravity in 2+1 Dimensions Cambridge University Press, Cam- bridge, 1998. 9 http://arxiv.org/abs/math/9911015 · arXiv
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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
- Nelson, J. E., & Picken, R. F.
- Affiliations
- University of Turin (IT)
- Instituto Superior Técnico (PT)
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 2000-01
- Volume
- 471
- Issue
- 4
- Pages
- 367-372
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2084016542
- Cited by
- 14
- References
- 0
- Citations by year
- 2024: 1 · 2021: 1 · 2019: 1 · 2014: 1
- FWCI
- 0.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Institutional Research Information System University of Turin (University of Turin) (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Commission (ERBFMRX-CT96-0045, CHRX-CT93-0362)
- Fundação para a Ciência e a Tecnologia
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- 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
- Keywords
- quantum holonomy, three-dimensional gravity, negative cosmological constant, quantum groups, representation, topological gravity
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