most citedConvex fair partitions into an arbitrary number of pieces

7 citations

Showing hep-thShow all

8 papers · 1 filter

hep-th2026

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

A. Mironov, A. Morozov, A. Popolitov

We discuss interrelations between eigenfunctions of the Hamiltonians associated with the commutative (integer ray) subalgebras of the Ding-Iohara-Miki algebra and those of the twis…

hep-th2026

Group character averages via a single Laguerre

Alexei Morozov, Kazumi Okuyama

Average of exponential , i.e. of a group rather than an algebra character, in Gaussian matrix model is known to be an amusing generalization of Schur polynomial, wh…

hep-th2026

Poly-vector deformations of heterotic supergravity solutions

Kirill Gubarev, Konstantin Sovit

We construct bi- and uni-vector deformations of 10d heterotic supergravity solutions with the gauged double field theory approach. We construct a generalization of the "open/closed…

hep-th2025

Torus Knots in Adjoint Representation

Andrei Mironov, Vivek Kumar Singh

We derive a closed-form expression for the adjoint polynomials of torus knots and investigate their special properties. The results are presented in the very explicit double sum fo…

hep-th2025

5D AGT conjecture for circular quivers

A. Mironov, A. Morozov, Sh. Shakirov

The best way to represent generic conformal blocks is provided by the free-field formalism, where they acquire a form of multiple Dotsenko-Fateev-like integrals of the screening op…

hep-th2025

Algebraic structures of Vassiliev invariants for knot families

E. Lanina, A. Sleptsov

We explore algebraic relations on Vassiliev knot invariants related with correlators in the 3-dimensional Chern--Simons theory. Vassiliev invariants form infinite-dimensional algeb…