A note on colored HOMFLY polynomials for hyperbolic knots from WZW models
DOI10.1007/s00220-015-2322-zzbMath1328.81193arXiv1407.5643OpenAlexW3099719910MaRDI QIDQ2354359
Publication date: 13 July 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5643
quantum groupsChern-Simons theoryhyperbolic knotsWess-Zumino-Witten modelscolored HOMFLY polynomials
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Topological field theories in quantum mechanics (81T45) Eta-invariants, Chern-Simons invariants (58J28)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the formulae for the colored HOMFLY polynomials
- Multiplicity-free quantum \(6j\)-symbols for \(U_q(\mathfrak{sl}_N)\)
- Torus knots and the topological vertex
- Cabling procedure for the colored HOMFLY polynomials
- The Karoubi envelope and Lee's degeneration of Khovanov homology
- Classical and quantum conformal field theory
- Quantum field theory and the Jones polynomial
- Duality and quantum groups
- \(U(N)\) framed links, three-manifold invariants, and topological strings
- Boundary conditions in rational conformal field theories
- The geometry of WZW branes
- Torus knots and mirror symmetry
- HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
- Super-A-polynomials for twist knots
- An equivalence of fusion categories
- Large \(N\) duality, Lagrangian cycles, and algebraic knots
- \(SU(N)\) quantum Racah coefficients and non-torus links
- Three-dimensional Chern-Simons theory as a theory of knots and links. III: Compact semi-simple group
- Three-dimensional Chern-Simons theory as a theory of knots and links. II: Multicoloured links
- Three-dimensional Chern-Simons theory as a theory of knots and links
- Knot invariants from topological recursion on augmentation varieties
- Topological strings, D-model, and knot contact homology
- Knot polynomials in the first non-symmetric representation
- Framed knot contact homology
- Lectures on Knot Homology and Quantum Curves
- A Topological Introduction to Knot Contact Homology
- Diagrammatic Young projection operators for U(n)
- Chern-Simons theory and topological strings
- Tensor Structures Arising from Affine Lie Algebras. I
- The symmetric group: Algebraic formulas for some S f 6j symbols and S f⊇S f1×S f2 3j m symbols
- Racah-Wigner algebra for q-deformed algebras
- Tensor Structures Arising from Affine Lie Algebras. III
- Tensor Structures Arising from Affine Lie Algebras. IV
- Racah coefficients of quantum group Uq(n)
- Symmetrized Kronecker Products of Group Representations
- EIGENVALUE HYPOTHESIS FOR RACAH MATRICES AND HOMFLY POLYNOMIALS FOR 3-STRAND KNOTS IN ANY SYMMETRIC AND ANTISYMMETRIC REPRESENTATIONS
- COLORED HOMFLY POLYNOMIALS FROM CHERN–SIMONS THEORY
- Knots, links and branes at large \(N\)
- On the gauge theory/geometry correspondence
- Knot invariants and topological strings.
- On link invariants and topological string amplitudes
- Polynomial invariants for torus knots and topological strings