Andrei Vladimirovich Zotov

发表

Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary

M. Vasilyev, A. Zabrodin, Andrei Vladimirovich Zotov, 2020, Journal of Physics A: Mathematical and Theoretical.

Классификация изомонодромных задач на эллиптических кривых@@@Classification of isomonodromy problems on elliptic curves

Andrei Vladimirovich Zotov, Андрей Михайлович Левин, A. Levin, 2014 .

Модификации расслоений, эллиптические интегрируемые системы и связанные задачи@@@Modifications of bundles, elliptic integrable systems, and related problems

Andrei Vladimirovich Zotov, Андрей Владимирович Зотов, Андрей Валерьевич Смирнов, 2013 .

Квадратичные алгебры, связанные с эллиптическими кривыми@@@Quadratic algebras related to elliptic curves

Andrei Vladimirovich Zotov, Андрей Михайлович Левин, A. Levin, 2008 .

Quadratic algebras related to elliptic curves

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2007 .

Elliptic Schlesinger system and Painlevé VI

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2006 .

Higher Rank 1 + 1 Integrable Landau–Lifshitz Field Theories From Associative Yang–Baxter Equation

Andrei Vladimirovich Zotov, K. Atalikov, 2022, JETP Letters.

M ar 2 02 2 ITEP-TH04 / 22 IITP-TH-03 / 22 2 d Integrable systems , 4 d Chern-Simons theory and Affine Higgs bundles

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2022 .

Higher Rank 1 + 1 Integrable Landau–Lifshitz Field Theories From Associative Yang–Baxter Equation

Andrei Vladimirovich Zotov, K. Atalikov, 2022, JETP Letters.

Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve

Andrei Vladimirovich Zotov, E. Trunina, 2022, Journal of Physics A: Mathematical and Theoretical.

Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain

Andrei Vladimirovich Zotov, M. Matushko, 2022, Nonlinearity.

2022 Lax equations for relativistic GL( N M, C ) Gaudin models on elliptic curve

Andrei Vladimirovich Zotov, E. Trunina, 2022 .

Fe b 20 22 Elliptic generalization of integrable q-deformed Haldane-Shastry long-range spin chain

Andrei Vladimirovich Zotov, M. Matushko, 2022 .

Classical-Quantum Correspondence and Functional Relations for Painlevé Equations

A. Zabrodin, Andrei Vladimirovich Zotov, 2015, Constructive Approximation.

Field analogue of the Ruijsenaars-Schneider model

Andrei Vladimirovich Zotov, A. Zabrodin, 2021, Journal of High Energy Physics.

Classical integrable systems and soliton equations related to eleven-vertex R-matrix

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2014, 1406.2995.

Supersymmetric quantum spin chains and classical integrable systems

A. Zabrodin, Andrei Vladimirovich Zotov, Z. Tsuboi, 2015, Journal of High Energy Physics.

Supersymmetric quantum spin chains and classical integrable systems

A. Zabrodin, Andrei Vladimirovich Zotov, Z. Tsuboi, 2014, 1412.2586.

Painleve Field Theory

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2013, 1306.3265.

Calogero–Sutherland system with two types interacting spins

Andrei Vladimirovich Zotov, M. Olshanetsky, S. Kharchev, 2017, 1706.08793.

Relativistic classical integrable tops and quantum R-matrices

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2014, 1405.7523.

On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta

A. Grekov, A. Zotov, Andrei Vladimirovich Zotov, 2021, Journal of High Energy Physics.

Field theory generalizations of two-body Calogero–Moser models in the form of Landau–Lifshitz equations

Andrei Vladimirovich Zotov, K. Atalikov, 2020, 2010.14297.

Characteristic determinant and Manakov triple for the double elliptic integrable system

Andrei Vladimirovich Zotov, A. Grekov, 2020, 2010.08077.

Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation

Andrei Vladimirovich Zotov, T. Krasnov, 2019, Annales Henri Poincaré.

Generalized Calogero and Toda Models

Andrei Vladimirovich Zotov, M. Olshanetsky, S. Kharchev, 2019, JETP Letters.

Calogero–Moser Model and R-Matrix Identities

Andrei Vladimirovich Zotov, 2018, Theoretical and Mathematical Physics.

Calogero–Moser Model and R-Matrix Identities

Andrei Vladimirovich Zotov, 2018, Theoretical and Mathematical Physics.

Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins

Andrei Vladimirovich Zotov, M. Olshanetsky, S. Kharchev, 2017, Journal of Mathematical Physics.

Scalar products of Bethe vectors in the 8-vertex model

N. Slavnov, A. Zabrodin, Andrei Vladimirovich Zotov, 2020, Journal of High Energy Physics.

Spectral Duality Between Heisenberg Chain and Gaudin Model

A. Mironov, A. Morozov, Andrei Vladimirovich Zotov, 2012, Letters in Mathematical Physics.

Modifications of bundles, elliptic integrable systems, and related problems

Andrei Vladimirovich Zotov, A. Smirnov, 2013 .

Painlevé VI, Rigid Tops and Reflection Equation

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2005, math/0508058.

Elliptic Linear Problem for the Calogero—Inozemtsev Model and Painlevé VI Equation

Andrei Vladimirovich Zotov, 2004 .

Planck constant as spectral parameter in integrable systems and KZB equations

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2014, 1408.6246.

Classification of isomonodromy problems on elliptic curves

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2013, 1311.4498.

Spectral Duality Between Heisenberg Chain and Gaudin Model

A. Mironov, A. Morozov, Andrei Vladimirovich Zotov, 2012, 1206.6349.

Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-trivial Bundles

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Smirnov, 2012, 1207.4386.

Baxter-Belavin R-matrices as non-abelian generalization of elliptic functions

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2015 .

Quantum Baxter-Belavin R-matrices and multidimensional lax pairs for Painlevé VI

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2015, 1501.07351.

Scalar products of Bethe vectors in the 8-vertex model

N. Slavnov, Andrei Vladimirovich Zotov, A. Zabrodin, 2020, Journal of High Energy Physics.

On the $$R$$-matrix identities related to elliptic anisotropic spin Ruijsenaars–Macdonald operators

Andrei Vladimirovich Zotov, M. Matushko, 2022, Theoretical and Mathematical Physics.

Anisotropic Spin Generalization of Elliptic Macdonald–Ruijsenaars Operators and R-Matrix Identities

Andrei Vladimirovich Zotov, M. Matushko, 2022, Annales Henri Poincaré.

Higher-rank generalization of the 11-vertex rational \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R$$\end{document}

Andrei Vladimirovich Zotov, K. Atalikov, 2023, Theoretical and Mathematical Physics.

Yang–Baxter equations with two Planck constants

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2015, Journal of Physics A: Mathematical and Theoretical.

Characteristic Classes and Hitchin Systems. General Construction

Andrei Vladimirovich Zotov, A. Smirnov, A. Levin, 2012, Communications in Mathematical Physics.

Characteristic Classes and Hitchin Systems. General Construction

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Smirnov, 2012 .

Characteristic classes of -bundles and quantum dynamical elliptic R-matrices

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Smirnov, 2012, 1208.5750.

Characteristic Classes and Integrable Systems. General Construction

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Smirnov, 2010 .

Quantum-classical correspondence for supersymmetric Gaudin magnets with boundary

M. Vasilyev, A. Zabrodin, Andrei Vladimirovich Zotov, 2020, 2006.06717.

Quantum-classical duality for Gaudin magnets with boundary

M. Vasilyev, A. Zabrodin, Andrei Vladimirovich Zotov, 2019, Nuclear Physics B.

Hitchin Systems – Symplectic Hecke Correspondence and Two-Dimensional Version

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2001, Communications in Mathematical Physics.

On Cherednik and Nazarov-Sklyanin large N limit construction for double elliptic integrable system.

Andrei Vladimirovich Zotov, A. Grekov, 2021 .

S I ] 2 0 Fe b 20 06 ITP-UH-01 / 06 ITEP-TH04 / 06 Elliptic Schlesinger system and Painlevé VI

Andrei Vladimirovich Zotov, A. Levin, Yu. B. Chernyakov, 2021 .

Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2015, 1507.04265.

Calogero–Moser systems for simple Lie groups and characteristic classes of bundles

A. Smirnov, Andrei Vladimirovich Zotov, M. Olshanetsky, 2012 .

1+1 Gaudin Model

Andrei Vladimirovich Zotov, 2010, 1012.1072.

Интегрируемая система взаимодействующих эллиптических волчков@@@Integrable Model of Interacting Elliptic Tops

Andrei Vladimirovich Zotov, Андрей Михайлович Левин, A. Levin, 2006 .

Integrable Many-Body Systems via the Inosemtsev Limit

Andrei Vladimirovich Zotov, Yu. B. Chernyakov, 2001 .

Hitchin Systems - symplectic maps and two-dimensional version

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Levin, 2001 .

Quantum Painlevé-Calogero correspondence for Painlevé VI

A. Zabrodin, Andrei Vladimirovich Zotov, 2012 .

Spectral dualities in XXZ spin chains and five dimensional gauge theories

A. Mironov, Andrei Vladimirovich Zotov, Y. Zenkevich, 2013, Journal of High Energy Physics.

Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles

A. Zabrodin, Andrei Vladimirovich Zotov, A. Liashyk, 2017, Theoretical and Mathematical Physics.

Modifications of bundles, elliptic integrable systems, and related problems

A. Smirnov, Andrei Vladimirovich Zotov, 2013, Theoretical and Mathematical Physics.

Multilevel memristive structures based on bismuth selenide microcrystals

V. A. Tulin, D. N. Borisenko, V. Sirotkin, 2021 .

Characteristic Classes and Integrable Systems for Simple Lie Groups

Andrei Vladimirovich Zotov, M. Olshanetsky, A. Smirnov, 2010 .

Rational top and its classical r-matrix

A. Zotov, A. Smirnov, Andrei Vladimirovich Zotov, 2014, 1402.3189.

Старшие аналоги условия унитарности для квантовых $R$-матриц@@@Higher-order analogues of the unitarity condition for quantum $R$-matrices

Andrei Vladimirovich Zotov, Андрей Владимирович Зотов, 2016 .

Classical-Quantum Correspondence and Functional Relations for Painlevé Equations

A. Zotov, A. Zabrodin, Andrei Vladimirovich Zotov, 2012, 1212.5813.

Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation

A. Zotov, Andrei Vladimirovich Zotov, A. Levin, 2016, 1603.06101.

Quantum Painlevé-Calogero correspondence

A. Zotov, A. Zabrodin, Andrei Vladimirovich Zotov, 2011, 1107.5672.