Four-dimensional BF theory as a topological quantum field theory
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The author has argued [12] that the Crane-Yetter model is a discrete formulation of BF theory with a cosmological term, i.e. with the action given by ∫M tr E∧F + (1/12) E∧E, where the deformation parameter q is a function of the cosmological constant Λ.
“The author has argued [12] that the Crane-Yetter model is a discrete formulation of BF theory with a cosmological term, i.e. with the action given by M tr E ∧ F + 1 12 E ∧ E , where the deformation parameter q is a function of the cosmological constant .”
From Spin foam models (1998) · cites this paper as [12]
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Cites
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758 · see citing works
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
Chari, V., & Pressley, A. (1994) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,894 · see citing works
State sum invariants of 3-manifolds and quantum 6j-symbols
Turaev, V. G., & Viro, O. Y. (1992) · Topology · doi:10.1016/0040-9383(92)90015-a · Cited by 1,145 · see citing works
Ribbon graphs and their invaraints derived from quantum groups
Reshetikhin, N., & Turaev, V. G. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02096491 · Cited by 1,066 · see citing works
Topological quantum field theory
Atiyah, M. F. (1988) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02698547 · Cited by 976 · 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
Exactly soluble diffeomorphism invariant theories
Horowitz, G. T. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01218410 · Cited by 472 · see citing works
Topological Auantum Field Theories derived from the Kauffman bracket
Blanchet, C., Habegger, N., Masbaum, G., & Vogel, P. (1995) · Topology · doi:10.1016/0040-9383(94)00051-4 · Cited by 329 · see citing works
Topological gauge theories of antisymmetric tensor fields
Blau, M., & Thompson, G. (1991) · Annals of Physics · doi:10.1016/0003-4916(91)90240-9 · Cited by 266 · see citing works
Skein theory and Turaev-Viro invariants
Roberts, J. (1995) · Topology · doi:10.1016/0040-9383(94)00053-0 · Cited by 190 · see citing works
A CATEGORICAL CONSTRUCTION OF 4D TOPOLOGICAL QUANTUM FIELD THEORIES
Crane, L., & Yetter, D. N. (1993) · Series on knots and everything · doi:10.1142/9789812796387_0005 · Cited by 168 · see citing works
(1994) · doi:10.1093/oso/9780198534907.001.0001 · Cited by 160 · see citing works
State sum invariants of 4-manifolds
Crane, L., Kauffman, L. H., & Yetter, D. N. (1997) · Journal of Knot Theory and Its Ramifications · doi:10.1142/s0218216597000145 · Cited by 139 · see citing works
Quantum Field Theory and the Jones Polynomial
Witten, E. H. (1990) · Advanced series in mathematical physics · doi:10.1142/9789812798329_0039 · Cited by 138 · see citing works
Topological BF theories in 3 and 4 dimensions
Cattaneo, A. S., Cotta-Ramusino, P., Fröhlich, J. M., & Martellini, M. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531238 · Cited by 96 · see citing works
ON ALGEBRAIC STRUCTURES IMPLICIT IN TOPOLOGICAL QUANTUM FIELD THEORIES
Crane, L., & Yetter, D. N. (1999) · Journal of Knot Theory and Its Ramifications · doi:10.1142/s0218216599000109 · Cited by 64 · see citing works
Links, quantum groups and TQFTs
Sawin, S. (1996) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-96-00690-8 · Cited by 42 · see citing works
Evaluating the Crane-Yetter Invariant
Crane, L., Kauffman, L. H., & Yetter, D. N. (1993) · Series on knots and everything · doi:10.1142/9789812796387_0006 · Cited by 30 · see citing works
The equality of 3-manifold invariants
Barrett, J. W., & Westbury, B. W. (1995) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100073825 · Cited by 28 · see citing works
Knots and Quantum Gravity: Progress and ProspectsPreprint
Baez, J. C. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9410018 · Cited by 27 · see citing works
Self-citationTriangulations, Categories and Extended Topological Field Theories
Lawrence, R. J. (1993) · Series on knots and everything · doi:10.1142/9789812796387_0011 · Cited by 26 · see citing works
State-sum invariants of 3-manifolds associated to artinian semisimple tortile categories
Yetter, D. N. (1994) · Topology and its Applications · doi:10.1016/0166-8641(94)90073-6 · Cited by 25 · see citing works
Three-dimensional BF theories and the Alexander-Conway invariant of knots
Cattaneo, A. S., Cotta-Ramusino, P., & Martellini, M. (1995) · Zurich Open Repository and Archive (University of Zurich) · doi:10.5167/uzh-22585 · Cited by 21 · see citing works
Refined state-sum invariants of 3- and 4-manifolds
Kazez, W. (1996) · AMS/IP studies in advanced mathematics · doi:10.1090/amsip/002.1/12 · Cited by 17 · see citing works
State-Sum Invariants of 4-Manifolds IPreprint
Crane, L., Kauffman, L. H., & Yetter, D. N. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9409167 · Cited by 16 · see citing works
Yetter, D. N. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9311082 · Cited by 6 · see citing works
On Algebraic Structures Implicit in Topological Quantum Field TheoriesPreprint
Crane, L., & Yetter, D. N. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9412025 · Cited by 5 · see citing works
Flagged first, then by citations
Research works printed but not linked: 5
- [2][2] M. Atiyah, Topological quantum field theories, Inst. Hautes ´ Etudes Sci. Publ. Math. 68 (1988), 175- 186. -
- [4][4] J. Barrett and B. Westbury, Spherical categories, preprint available as hepth/9310164. -
- [8][8] B. Broda, Surgical invariants of 4-manifolds, Proceedings of the Conference on Quantum Topology, ed. D. Yetter, World Scientific, Singapore, 1994. -
- [23][23] V. Turaev, Topology of shadows, preprint. -
- [25][25] K. Walker, On Witten's 3-manifold invariants, preprint. -
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Walker, K., & Wang, Z. (2011) · Frontiers of Physics · doi:10.1007/s11467-011-0194-z · Cited by 299 · see citing works
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Regge, T., & Williams, R. M. (2000) · Journal of Mathematical Physics · doi:10.1063/1.533333 · Cited by 148 · see citing works
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- Authors
- Baez, J. C.
- Affiliations
- University of California, Riverside (US)
- Corresponding author
- Baez, John C.
- ORCID
- Baez, John C.
- Venue
- Letters in Mathematical Physics
- Published
- 1996-10
- Volume
- 38
- Issue
- 2
- Pages
- 129-143
- ISSN
- 0377-9017 (ISSN-L)
- 1573-0530
- OpenAlex
- W2949515049
- Cited by
- 75
- References
- 27
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 1 · 2023: 1 · 2022: 4 · 2021: 3 · 2020: 6 · 2019: 2 · 2018: 1 · 2017: 5 · 2016: 3 · 2015: 4 · 2014: 1 · 2012: 2
- FWCI
- 5.21
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Letters in Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- BF theory, topological field theory, 4-manifolds, principal bundles, frame bundle, signature, state sum models, partition function, cosmological term
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