10.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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15 papers · 2 filters
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…
Functorial properties of Schwinger-DeWitt expansion and Mellin-Barnes representation
Andrei O. Barvinsky, Alexey E. Kalugin, Władysław Wachowski
We consider integral kernels for functions of a minimal second-order differential operator on a curved spacetime. We show that they can be expanded in…
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…
Classical scattering matrix for hard and soft Bose-excitations in a non-Abelian plasma within the Hamiltonian formalism
Yu. A. Markov, M. A. Markova, D. M. Gitman +1
Within the framework of the Zakharov-Schulman approach, in close analogy with the methods of quantum field theory, the classical scattering matrix for the simplest process of inter…
Pseudodifferential calculus in Schwinger--DeWitt formalism: UV and IR parts
A. O. Barvinsky, A. E. Kalugin, W. Wachowski
We consider expansions for the kernels of operator functions of second-order minimal operators on a curved background. We show that the terms of these expansions originate in the u…
Non-commutative creation operators for symmetric polynomials
A. Mironov, A. Morozov
We reconsider in modern terms the old discovery by A. Kirillov and M. Noumi, who devised peculiar operators adding columns to Young diagrams enumerating the Schur, Jack and Macdona…
Schwinger--DeWitt expansion for the heat kernel of nonminimal operators in causal theories
Andrei O. Barvinsky, Alexey E. Kalugin, Władysław Wachowski
We suggest a systematic calculational scheme for heat kernels of covariant nonminimal operators in causal theories whose characteristic surfaces are null with respect to a generic…
Phases in WLZZ Matrix Models
A. Mironov, A. Oreshina, A. Popolitov
We discuss the space of solutions to the Ward identities associated with the WLZZ models. We mostly concentrate on the case of these models described by a two-matrix model with the…
Macdonald deformation of Vogel's universality and link hyperpolynomials
Liudmila Bishler, Andrei Mironov, Alexei Morozov
Vogel's universality implies a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters , which are homogeneou…
Torus knots in adjoint representation and Vogel's universality
Liudmila Bishler, Andrei Mironov
Vogel's universality gives a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters , which are homogeneous…
Tau functions of the UC hierarchy as partition functions of matrix models
Chuanzhong Li, Andrei Mironov, Alexander Yu. Orlov
We present a family of matrix models such that their partition functions are tau functions of the universal character (UC) hierarchy. This develops one of the topics of our previou…
On Refined Vogel's universality
Liudmila Bishler, Andrei Mironov
In accordance with P. Vogel, a set of algebra structures in Chern-Simons theory can be made universal, independent of a particular family of simple Lie algebras. In particular, thi…
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…
Twisted Baker-Akhiezer function from determinants
A. Mironov, A. Morozov, A. Popolitov
General description of eigenfunctions of integrable Hamiltonians associated with the integer rays of Ding-Iohara-Miki (DIM) algebra, is provided by the theory of Chalykh Baker-Akhi…
Linearized Coxeter Higher-Spin Theories
A. A. Tarusov, K. A. Ushakov, M. A. Vasiliev
A class of higher-spin gauge theories on associated with various Coxeter groups is analyzed at the linear order. For a general , a solution corre…