Multistrand Eigenvalue conjecture and Racah symmetries
arXiv:2212.01289 · doi:10.1134/S0021364022603207
Abstract
Racah matrices of quantum algebras are of great interest at present time. These matrices have a relation with -matrices, which are much simpler than the Racah matrices themselves. This relation is known as the eigenvalue conjecture. In this paper we study symmetries of Racah matrices which follow from the eigenvalue conjecture for multistrand braids.
arXiv comment6 pages, 4 figures
References in corpus (16)
- A Quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations
- Three Dimensional Chern-Simons Theory as a Theory of Knots and Links III : Compact Semi-simple Group
- Chern-Simons Theory in the Temporal Gauge and Knot Invariants through the Universal Quantum R-Matrix
- Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
- Eigenvalue hypothesis for Racah matrices and HOMFLY polynomials for 3-strand knots in any symmetric and antisymmetric representations
- Multiplicity-free quantum 6j-symbols for U_q(sl_N)
- A note on colored HOMFLY polynomials for hyperbolic knots from WZW models
- Eigenvalue hypothesis for multi-strand braids
- Multiplicity-free 6-j symbols: relations, asymptotics, symmetries
- Eigenvalue conjecture and colored Alexander polynomials
- 3d Quantum Gravity: Coarse-Graining and q-Deformation
- New symmetries for the 6-j symbols from the Eigenvalue conjecture
- On the block structure of the quantum R-matrix in the three-strand braids
- Chern-Simons perturbative series revisited
- A new symmetry of the colored Alexander polynomial
- Interplay between symmetries of quantum 6-j symbols and the eigenvalue hypothesis