Chern-Simons theory, link invariants and the Askey-Wilson algebra
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Publication:2159774
DOI10.1016/j.nuclphysb.2022.115878zbMath1500.81041arXiv2204.12387OpenAlexW4280539417MaRDI QIDQ2159774
Meri Zaimi, Luc Vinet, Nicolas Crampé
Publication date: 2 August 2022
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.12387
Linkage, complete intersections and determinantal ideals (13C40) Feynman diagrams (81T18) Topological field theories in quantum mechanics (81T45) Operator algebra methods applied to problems in quantum theory (81R15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)
Cites Work
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- Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix
- State models and the Jones polynomial
- Hecke algebra representations of braid groups and link polynomials
- The Yang-Baxter equation and invariants of links
- The Kauffman polynomial of links and representation theory
- Quantum field theory and the Jones polynomial
- Quantum group invariants and link polynomials
- ``Hidden symmetry of Askey-Wilson polynomials
- The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory
- Central elements for quantum affine algebras and affine Macdonald's operators
- Baxterisation of the fused Hecke algebra and \(R\)-matrices with \(gl(N)\)-symmetry
- Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of \(U_q(\mathfrak{sl}_2)\)
- Invariants of 3-manifolds via link polynomials and quantum groups
- Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra
- The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra
- DAHA and skein algebra of surfaces: double-torus knots
- An embedding of the universal Askey-Wilson algebra into \(\operatorname{U}_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2)\)
- Theory of braids
- CHERN-SIMONS THEORY AND KAUFFMAN POLYNOMIALS
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- A polynomial invariant for knots via von Neumann algebras
- A new polynomial invariant of knots and links
- Invariants of links of Conway type
- Generalized Gel’fand invariants and characteristic identities for quantum groups
- Multiplicative structure of Kauffman bracket skein module quantizations
- An Invariant of Regular Isotopy
- Braids, Link Polynomials and a New Algebra
- Kauffman skein algebras and quantum Teichmüller spaces via factorization homology
- Braid group and 𝑞-Racah polynomials
- A Calabi-Yau algebra with $E_6$ symmetry and the Clebsch-Gordan series of $sl(3)$
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- Revisiting the Askey–Wilson algebra with the universal R-matrix of $\boldsymbol{ \newcommand{\su}{\mathfrak{sl}} U_q(\su_2)}$
- The Askey–Wilson algebra and its avatars
- Recent developments in Chern-Simons theory and link invariants
- Link invariants from Chern-Simons theory