2 citations · 2 across the 1 of their papers we have counts for
10 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…
Quantum Racah matrices up to level 3 and multicolored link invariants
C. Bai, J. Jiang, J. Liang +4
This paper is a next step in the project of systematic description of colored knot and link invariants started in previous papers. In this paper, we managed to explicitly find the…
On the block structure of the quantum R-matrix in the three-strand braids
L. Bishler, An. Morozov, A. Sleptsov +1
Quantum -matrices are the building blocks for the colored HOMFLY polynomials. In the case of three-strand braids with an identical finite-dimensional irreducible repre…
Eigenvalue hypothesis for multi-strand braids
Saswati Dhara, A. Mironov, A. Morozov +4
Computing polynomial form of the colored HOMFLY-PT for non-arborescent knots obtained from three or more strand braids is still an open problem. One of the efficient methods sugges…
Towards topological quantum computer
D. Melnikov, A. Mironov, S. Mironov +2
One of the principal obstacles on the way to quantum computers is the lack of distinguished basis in the space of unitary evolutions and thus the lack of the commonly accepted set…
Checks of integrality properties in topological strings
A. Mironov, A. Morozov, An. Morozov +3
Tests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arb…