Zobrazeno 1 - 10
of 469
pro vyhledávání: '"Orlov, A. Yu"'
Publikováno v:
Physics Letters B860 (2025) 139170
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 that such a generating function is a $\tau$-function of the KP hierar
Externí odkaz:
http://arxiv.org/abs/2410.14823
Autor:
Orlov, Aleksandr Yu.
Publikováno v:
SIGMA 20 (2024), 098, 32 pages
I present a generalization of our joint works with John Harnad (2021) that relates Schur functions, KP tau functions and KP correlation functions to Schur's $Q$-functions, BKP tau functions and BKP correlation functions, respectively.
Comment: D
Comment: D
Externí odkaz:
http://arxiv.org/abs/2401.06032
Autor:
Orlov, A. Yu.
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Volume 4 (August 22, 2024) ocnmp:13057
We show that abelian subalgebras of generalized $W_{1+\infty}$ ($GW_{1+\infty}$) algebra gives rise to the multicomponent KP flows. The matrix elements of the related group elements in the fermionic Fock space is expressed as a product of a certain f
Externí odkaz:
http://arxiv.org/abs/2311.12995
Autor:
Orlov, A. Yu.
We consider series over Young diagrams of products of Schur functions $s_{\lambda\cup\lambda}$, marked with ``fat partitions'' $\lambda\cup\lambda$, which appear in matrix models associated with ensembles of symplectic and orthogonal matrices and qua
Externí odkaz:
http://arxiv.org/abs/2311.12027
Explicit expressions for multimatrix models with complex and unitary matrices allows to couple these models with well-known unitary, orthogonsl and sympletic ensembles. We consider examples of such mixed ensembles which are solvable in the sense that
Externí odkaz:
http://arxiv.org/abs/2310.03732
Autor:
Antonov, E. N., Orlov, A. Yu.
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Volume 4 (February 8, 2024) ocnmp:12938
The generating series for the instanton contribution to Green functions of the $2D$ sigma model was found in the works of Schwarz, Fateev and Frolov. We show that this series can be written as a formal tau function of the two-sided two-component KP h
Externí odkaz:
http://arxiv.org/abs/2310.02737
Autor:
Antonov, E. N., Orlov, A. Yu.
We present exactly solvable modifications of the two-matrix Zinn-Justin-Zuber model and write it as a tau function. The grand partition function of these matrix integrals is written as the fermion expectation value. The perturbation theory series is
Externí odkaz:
http://arxiv.org/abs/2309.15220
Autor:
Orlov, A. Yu.
We construct two series of commuting Hamiltonians parametrized by a constant matrix. The first series was my guess and the second one was know, and in our approach follows from the first series. For the proof we use familier facts known from our prev
Externí odkaz:
http://arxiv.org/abs/2303.15971
Autor:
Orlov, A. Yu.
The generalized Mironov-Morozov-Natanson (MMN) equation includes a set of commuting operators, which can be considered as Hamiltonians for the quantum Calogero-Sutherland problem with a special value of the coupling constant (free fermion point). The
Externí odkaz:
http://arxiv.org/abs/2211.05923
Publikováno v:
Entropy 22 (9), 972 (2020) https://www.mdpi.com/1099-4300/22/9/972
We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind drawn on a closed connected orientable surface (in the sky). The vertices
Externí odkaz:
http://arxiv.org/abs/2202.00776