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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18 papers · 2 filters
Tau-functions beyond the group elements
A. Mironov, V. Mishnyakov, A. Morozov
Matrix elements in different representations are connected by quadratic relations. If matrix elements are those of a , i.e. satisfying the property $Δ(X) =…
and algebras, and Ward identities
Ya. Drachov, A. Mironov, A. Popolitov
It was demonstrated recently that the algebra contains commutative subalgebras associated with all integer slope rays (including the vertical one). In this paper, we…
Singular electromagnetic fields in nonlinear electrodynamics with a constant background field
T. C. Adorno, D. M. Gitman, A. E. Shanad
When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetr…
Checkerboard CFT
Mikhail Alfimov, Gwenaël Ferrando, Vladimir Kazakov +1
The Checkerboard conformal field theory is an interesting representative of a large class of non-unitary, logarithmic Fishnet CFTs (FCFT) in arbitrary dimension which have been int…
Asymptotic freedom in (3+1)-dimensional projectable Horava gravity: connecting ultraviolet to infrared
Andrei O. Barvinsky, Alexander V. Kurov, Sergey M. Sibiryakov
We investigate the renormalization group flow of projectable Horava gravity in dimensions generated by marginal operators with respect to the Lifshitz scaling. The flow pos…
On the status of DELL systems
A. Mironov, A. Morozov
A detailed review of the -duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the…
Quantum chaos without false positives
Dmitrii A. Trunin
Out-of-time-order correlators are widely used as an indicator of quantum chaos, but give false-positive quantum Lyapunov exponents for integrable systems with isolated saddle point…
Notes on conformal anomaly, nonlocal effective action and the metamorphosis of the running scale
A. O. Barvinsky, W. Wachowski
We discuss the structure of nonlocal effective action generating the conformal anomaly in classically Weyl invariant theories in curved spacetime. By the procedure of conformal gau…
Commutative subalgebras from Serre relations
A. Mironov, V. Mishnyakov, A. Morozov +1
We demonstrate that commutativity of numerous one-dimensional subalgebras in algebra, i.e. the existence of many non-trivial integrable systems described in recent a…
Commutative families in , integrable many-body systems and hypergeometric -functions
A. Mironov, V. Mishnyakov, A. Morozov +1
We explain that the set of new integrable systems generalizing the Calogero family and implied by the study of WLZZ models, which was described in arXiv:2303.05273, is only the tip…
Integrable Feynman Graphs and Yangian Symmetry on the Loom
Vladimir Kazakov, Fedor Levkovich-Maslyuk, Victor Mishnyakov
We present significant evidence that the powerful property of Yangian invariance extends to a new large class of conformally invariant Feynman integrals. Our results apply to plana…
Position Space Equations for Banana Feynman Diagrams
Victor Mishnyakov, Alexei Morozov, Pavel Suprun
The answers for Feynman diagrams satisfy various kinds of differential equations -- which is not a surprise, because they are defined as Gaussian correlators, possessing a vast var…
Many-body integrable systems implied by WLZZ models
A. Mironov, A. Morozov
We provide some details about the recently discovered integrable systems implied by commutativity of operators along the rays on the plane of roots of -algebra. The s…
On bosonic Thirring model in Minkowski signature
Mikhail Alfimov, Andrey Kurakin
We present the way to continue the bosonic Thirring model or -system with quartic interaction to Minkowski signature, based on the symmetries of this model. It is shown that th…
-deformed (skew) Hurwitz -functions
Fan Liu, A. Mironov, V. Mishnyakov +4
We follow the general recipe for constructing commutative families of -operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), in order…
On KP-integrable skew Hurwitz -functions and their -deformations
A. Mironov, V. Mishnyakov, A. Morozov +2
We extend the old formalism of cut-and-join operators in the theory of Hurwitz -functions to description of a wide family of KP-integrable {\it skew} Hurwitz -functions, whic…
Averaging method in combinatorics of symmetric polynomials
A. Mironov, A. Morozov
We elaborate on the recent suggestion to consider averaging of Cauchy identities for the Schur functions over power sum variables. This procedure has apparent parallels with the Bo…
Interpolating Matrix Models for WLZZ series
A. Mironov, V. Mishnyakov, A. Morozov +3
We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in arXiv:2206.13038, and defined there through …