The DOI matches its Crossref record; 28 of the 29 references it cites were found in a registry or an index.
Gauge theories, vertex models, and quantum groups
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Cites
Phase Transitions and Critical Phenomena
Hoch, M. J. R. (2016) · CRC Press eBooks · doi:10.1201/9781439850541-13 · Cited by 11,466
Exactly Solved Models in Statistical Mechanics
Moore, M. A. (1983) · Physics Bulletin · doi:10.1088/0031-9112/34/4/045 · Cited by 4,876
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Self-citationAq-difference analogue of U(g) and the Yang-Baxter equation
Jimbo, M. (1985) · Letters in Mathematical Physics · doi:10.1007/bf00704588 · Cited by 2,564
Current algebra and Wess-Zumino model in two dimensions
Knizhnik, V. G., & Zamolodchikov, A. B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90374-2 · Cited by 1,781
A polynomial invariant for knots via von Neumann algebras
Jones, V. F. R. (1985) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-1985-15304-2 · Cited by 1,641
Fusion rules and modular transformations in 2D conformal field theory
Verlinde, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90603-7 · Cited by 1,537
State models and the jones polynomial
Kauffman, L. H. (1987) · Topology · doi:10.1016/0040-9383(87)90009-7 · Cited by 1,465
Quantization of Lie Groups and Lie Algebras
Faddeev, L. D., Reshetikhin, N., & Takhtajan, L. A. (1988) · Elsevier eBooks · doi:10.1016/b978-0-12-400465-8.50019-5 · Cited by 1,189
Twisted $\textit{SU}(2)$ Group. An Example of a Non-Commutative Differential Calculus
Woronowicz, S. L. (1987) · Publications of the Research Institute for Mathematical Sciences · doi:10.2977/prims/1195176848 · Cited by 842
Quantum groups and non-commutative geometry
Manin, I. I. (1988) · Medical Entomology and Zoology · Cited by 695
Polynomial equations for rational conformal field theories
Moore, G., & Nathan Seiberg, B. (1988) · Physics Letters B · doi:10.1016/0370-2693(88)91796-0 · Cited by 477
On knot invariants related to some statistical mechanical models
Jones, V. F. R. (1989) · Pacific Journal of Mathematics · doi:10.2140/pjm.1989.137.311 · Cited by 344
New solutions of the star-triangle relations for the chiral potts model
Baxter, R. J., Perk, J. H. H., & Au-Yang, H. (1988) · Physics Letters A · doi:10.1016/0375-9601(88)90896-1 · Cited by 335
Drinfeld, V. (1988) · Journal of Mathematical Sciences · doi:10.1007/bf01247086 · Cited by 320
Naturality in conformal field theory
Moore, G. M., & Nathan Seiberg, B. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90511-7 · Cited by 272
Au-Yang, H., McCoy, B. M., Perk, J. H. H., Tang, S., & Yan, M.-L. (1987) · Physics Letters A · doi:10.1016/0375-9601(87)90065-x · Cited by 270
Solvable lattice models related to the vector representation of classical simple Lie algebras
Jimbo, M., Miwa, T., & Okado, M. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01229206 · Cited by 182
Gauge theories and integrable lattice models
Witten, E. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90232-0 · Cited by 177
Self-citationA formula for the multiplicity of a weight
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A comment on quantum group symmetry in conformal field theory
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Solvable lattice models whose states are dominant integral weights of A it?1 (1)
Jimbo, M., Miwa, T., & Okado, M. (1987) · Letters in Mathematical Physics · doi:10.1007/bf00420302 · Cited by 124
McCoy, B. M., Perk, J. H. H., Tang, S., & Sah, C.-H. (1987) · Physics Letters A · doi:10.1016/0375-9601(87)90509-3 · Cited by 116
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Conformal Field Theory and Solvable Lattice Models
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The Mathematical Heritage of Hermann Weyl
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Locality of conformal fields in two dimensions: Exchange algebra on the light-cone
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AN $A_{n - 1}^{\left( 1 \right)} $ FAMILY OF SOLVABLE LATTICE MODELS
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Research works printed but not linked: 9
- V.G. Turaev, The Yang-Baxter equation and invariants of links, LOMI preprint
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- Belavin, 1987, Nucl. Phys., B281, 509
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- L. Alvarez-Gaumé, C. Gomez, and G. Sierra, Quantum group interpretation of some conformal field theories, preprint CERN-TH-5267/88.
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Cited by
Sorted by citations
String-net condensation: A physical mechanism for topological phases
Levin, M., & Wen, X.-G. (2005) · Physical Review B · doi:10.1103/physrevb.71.045110 · Cited by 1,598
On the structure of the topological phase of two-dimensional gravity
Witten, E. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90449-n · Cited by 856
Self-citationBirmingham, D. (1991) · Physics Reports · doi:10.1016/0370-1573(91)90117-5 · Cited by 807
Chern-Simons perturbation theory. II
Axelrod, S., & Singer, I. M. (1994) · Journal of Differential Geometry · doi:10.4310/jdg/1214454681 · Cited by 362
Metadata
- Authors
- Witten, E.
- Affiliations
- Princeton University (US)
- Corresponding author
- Witten, Edward
- ORCID
- Witten, Edward
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1990-01
- Volume
- 330
- Issue
- 2-3
- Pages
- 285-346
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1968829869
- Cited by
- 278
- References
- 29
- Citations by year
- 2025: 5 · 2023: 2 · 2022: 1 · 2021: 30 · 2019: 6 · 2018: 5 · 2017: 5 · 2016: 4 · 2015: 5 · 2014: 2 · 2013: 6 · 2012: 4
- FWCI
- 42.66
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Jones polynomial, vertex model, quantum groups, Chern-Simons theory, gauge theory, knot invariants, integrable systems, statistical mechanics, duality, three-dimensional gauge theory
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