67 citations · 553 across the 32 of their papers we have counts for
31 papers
Vogel's universality and the classification problem for Jacobi identities
A. Morozov, A. Sleptsov
This paper is a summary of discussions at the recent ITEP-JINR-YerPhI workshop on Vogel theory in Dubna. We consider relation between Vogel divisor(s) and the old Dynkin classifica…
Tug-the-hook symmetry for quantum 6j-symbols
E. Lanina, A. Sleptsov
We introduce a novel symmetry for quantum 6j-symbols, which we call the tug-the-hook symmetry. Unlike other known symmetries, it is applicable for any representations, including on…
Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure
E. Lanina, A. Sleptsov, N. Tselousov
We have recently proposed arXiv:2105.11565 a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with $SU…
Chern-Simons perturbative series revisited
E. Lanina, A. Sleptsov, N. Tselousov
A group-theoretical structure in a perturbative expansion of the Wilson loops in the 3d Chern-Simons theory with gauge group is studied in symmetric approach. A special bas…
Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots
Petr Dunin-Barkowski, Maxim Kazarian, Aleksandr Popolitov +2
We prove that topological recursion applied to the spectral curve of colored HOMFLY-PT polynomials of torus knots reproduces the n-point functions of a particular partition functio…
Distinguishing Mutant Knots
L. Bishler, Saswati Dhara, T. Grigoryev +6
Knot theory is actively studied both by physicists and mathematicians as it provides a connecting centerpiece for many physical and mathematical theories. One of the challenging pr…