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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17 papers · 2 filters
CMM formula as superintegrability property of unitary model
A. Mironov, A. Morozov, A. Popolitov
A typical example of superintegrability is provided by expression of the Hopf link hyperpolynomial in an arbitrary representation through a pair of the Macdonald polynomials at spe…
Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems
A. Mironov, A. Morozov, A. Popolitov
Macdonald symmetric polynomial at reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear diffe…
A basic triad in Macdonald theory
A. Mironov, A. Morozov, A. Popolitov
Within the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A. Veselov an…
Hopf link invariants and integrable hierarchies
Chuanzhong Li, A. Mironov, A. Yu. Orlov
The goal of this note is to study integrable properties of a generating function of the HOMFLY-PT invariants of the Hopf link colored with different representations. We demonstrate…
On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians
A. Mironov, A. Morozov, A. Popolitov
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at to a sum over permutations of simpler polynomial…
Notes on peculiarities of Schwinger--DeWitt technique: one-loop double poles, total-derivative terms and determinant anomalies
Andrei O. Barvinsky, Alexey E. Kalugin
We discuss peculiarities of the Schwinger--DeWitt technique for quantum effective action, associated with the origin of dimensionally regularized double-pole divergences of the one…
Differential equations for classical Virasoro blocks with heavy and light operators
Mikhail Pavlov
In this note we study differential equations for classical blocks with heavy andlight operators. We present ODEs for the 4-pt blocks, generalizing the ODE for the 4-pt identity blo…
Unfolded Formulation of 4d Yang-Mills Theory
Nikita Misuna
In this note, we present a novel formulation of 4d pure Yang-Mills theory within the unfolded framework of Vasiliev higher-spin gravity. This formulation is first-order and exhibit…
Commutator technique for the heat kernel of minimal higher derivative operators
Andrei O. Barvinsky, Alexander V. Kurov, Władysław Wachowski
We suggest a new technique of the asymptotic heat kernel expansion for minimal higher derivative operators of a generic -th order, , in the backgrou…
Weak Gauge PDEs
Maxim Grigoriev, Dmitry Rudinsky
Gauge PDEs generalise the AKSZ construction when dealing with generic local gauge theories. Despite being very flexible and invariant, these geometrical objects are usually infinit…
Commutative families in DIM algebra, integrable many-body systems and matrix models
A. Mironov, A. Morozov, A. Popolitov
We extend our consideration of commutative subalgebras (rays) in different representations of the algebra to the elliptic Hall algebra (or, equivalently, to the Ding…
Bilinear Fronsdal currents in the higher-spin theory
Yu. A. Tatarenko, M. A. Vasiliev
We analyse higher-spin theory with general coupling constant at the second order, focusing on the gauge non-invariant vertices , and , that are shown…
Vacuum instability in QED with an asymmetric x-step. New example of exactly solvable case
A. I. Breev, S. P. Gavrilov, D. M. Gitman
We present a new exactly solvable case in strong-field QED with one-dimensional step potential (x-step). The corresponding x-step is given by an analytic asymmetric with respect to…
Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
A. Mironov, A. Morozov, A. Popolitov +1
We consider an arbitrary deformation of the Gaussian matrix model parameterized by Miwa variables . One can look at it as a mixture of the Gaussian and logarithmic (Selberg) p…
Two -ensemble realization of -deformed WLZZ models
A. Mironov, A. Oreshina, A. Popolitov
We consider a two -ensemble realization of the series of -deformed WLZZ matrix models. We demonstrate that such a realization involves -deformed Harish-Chandra-Itzykson-Zu…
Scalar Electrodynamics and Higgs Mechanism in the Unfolded Dynamics Approach
Nikita Misuna
We put forward a novel method of constructing unfolded formulations of field theories, which is based on initial fixation of the form of an unfolded field and subsequent looking fo…
Summing up perturbation series around superintegrable point
A. Mironov, A. Morozov, A. Popolitov +1
We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on…