4 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…
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…