activity
20082024
most citedHOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

133 citations · 696 across the 15 of their papers we have counts for

collaborators

11 papers

math-ph2024★ 1 cited

Direct proof of one-hook scaling property for Alexander polynomial from Reshetikhin-Turaev formalism

Andrey Morozov, Aleksandr Popolitov, Alexei Sleptsov

We prove that normalized colored Alexander polynomial (the limit of colored HOMFLY-PT polynomial) evaluated for one-hook (L-shape) representation R possesses scal…

hep-th2024★ 1 cited

Banana diagrams as functions of geodesic distance

D. Diakonov, A. Morozov

We extend the study of banana diagrams in coordinate representation to the case of curved space-times. If the space is harmonic, the Green functions continue to depend on a single…

hep-th2019★ 8 cited

Pentad and triangular structures behind the Racah matrices

A. Morozov

Somewhat unexpectedly, the study of the family of twisted knots revealed a hidden structure behind exclusive Racah matrices , which control non-associativity of the represe…

hep-th2019★ 14 cited

Extension of KNTZ trick to non-rectangular representations

A. Morozov

We claim that the recently discovered universal-matrix precursor for the functions, which define the differential expansion of colored polynomials for twist and double braid kn…

hep-th2017★ 71 cited

Ward identities and combinatorics of rainbow tensor models

H. Itoyama, A. Mironov, A. Morozov

We discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of Bogoliubov-Zimmermann theory in application to…

hep-th2016★ 28 cited

Racah matrices and hidden integrability in evolution of knots

A. Mironov, A. Morozov, An. Morozov +1

We construct a general procedure to extract the exclusive Racah matrices S and \bar S from the inclusive 3-strand mixing matrices by the evolution method and apply it to the first…