28 citations · 49 across the 6 of their papers we have counts for
6 papers
Diamond of triads
A. Mironov, A. Morozov, A. Popolitov +1
The triad refers to embedding of two systems of polynomials, symmetric ones and those of the Baker-Akhiezer type into a power series of the Noumi-Shiraishi type. It provides an alt…
Elliptic triad
A. Mironov, A. Morozov, A. Popolitov +1
The triad refers to embedding the Macdonald polynomials into the Noumi-Shiraishi functions and their reduction to solutions of simple linear equations at particular values of .…
AGT correspondence, (q-)Painlevè equations and matrix models
A. Mironov, V. Mishnyakov, A. Morozov +1
Painlevè equation for conformal blocks is a combined corollary of integrability and Ward identities, which can be explicitly revealed in the matrix model realization of AGT relatio…
New Insights into Superintegrability from Unitary Matrix Models
A. Mironov, A. Morozov, Z. Zakirova
Some eigenvalue matrix models possess an interesting property: one can manifestly define the basis where all averages can be explicitly calculated. For example, in the Gaussian Her…
Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models
A. Mironov, A. Morozov, Z. Zakirova
The modern version of conformal matrix model (CMM) describes conformal blocks in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant representation and becomes a Toda ch…
Comment on integrability in Dijkgraaf-Vafa beta-ensembles
A. Mironov, A. Morozov, Z. Zakirova
We briefly discuss the recent claims that the ordinary KP/Toda integrability, which is a characteristic property of ordinary eigenvalue matrix models, persists also for the Dijkgra…