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96 papers · 1 filter
Cherednik integrable system: eigenfunctions at generic eigenvalues
A. Mironov, A. Morozov, A. Popolitov
Symmetric Macdonald polynomials of variables provide eigenfunctions of the -body trigonometric Ruijsenaars-Schneider integrable system at particular eigenvalues. In order to…
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…
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…
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…
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…
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…