Remarks on the canonical quantization of the Chern-Simons-Witten theory
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The physical boundary degrees of freedom are the would-be large gauge (or diff) transformations, which become physical and observable in the presence of a boundary.
“Much like in well-known studies of 3d Chern–Simons and 2d WZW boundary CFT (Elitzur et al. 1989) (and in the BF dimensional reduction discussed briefly in Sect. 3.7.4), the physical boundary degrees of freedom are the would-be large gauge (or diff) transformations, which have become physical and observable in the presence of a boundary.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Elitzur et al. 1989
For compact gauge groups, the quantization of Chern-Simons theory is well understood.
“For compact gauge groups, the quantization of Chern-Simons theory is well understood [278, 243, 244, 116, 34].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [116]
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- Authors
- Elitzur, S., Moore, G., Schwimmer, A., & Seiberg, N.
- Affiliations
- Hebrew University of Jerusalem (IL)
- Institute for Advanced Study (US)
- Weizmann Institute of Science (IL)
- ORCID
- Moore, Gregory
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1989-10
- Volume
- 326
- Issue
- 1
- Pages
- 108-134
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2011600774
- Cited by
- 906
- References
- 0
- Citations by year
- 2026: 24 · 2025: 20 · 2024: 33 · 2023: 43 · 2022: 44 · 2021: 50 · 2020: 33 · 2019: 27 · 2018: 26 · 2017: 31 · 2016: 22 · 2015: 31 · 2014: 23 · 2013: 26 · 2012: 21
- FWCI
- 34.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Keywords
- canonical quantization, two-dimensional Yang-Mills theory, surfaces, gauge theory, topological field theory
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