Список публикаций Зотов Андрей Владимирович

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1 Список публикаций Зотов Андрей Владимирович С сайта Математического института им. В.А. Стеклова РАН I. Sechin, A. Zotov, R matrix valued Lax pairs and long range spin chains, Phys. Lett. B, 781 (2018), 1 7, arxiv: A. Grekov, A. Zotov, On R matrix valued Lax pairs for Calogero Moser models, J. Phys. A: Math. Theor., 51 (2018), , 26 pp., arxiv: A. V. Zabrodin, A. V. Zotov, Self dual form of Ruijsenaars Schneider models and ILW equation with discrete Laplacian, Nuclear Phys. B, 927 (2018), , arxiv: А. В. Зотов, Модель Калоджеро Мозера и R матричные тождества, ТМФ, 2018 (в печати) A. Zabrodin, A. Zotov, KZ Calogero correspondence revisited, J. Phys. A: Math. Theor, 50 (2017), , 12 pp., arxiv: A. V. Zabrodin, A. V. Zotov, A. N. Liashyk, D. S. Rudneva, Asymmetric six vertex model and the classical Ruijsenaars Schneider system of particles, Theoret. and Math. Phys., 192:2 (2017), , arxiv: A. Zabrodin, A. Zotov, QKZ Ruijsenaars correspondence revisited, Nuclear Phys. B, 922 (2017), , arxiv: S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, Calogero Sutherland system with two types interacting spins, arxiv: JETP Letters, 106:3 (2017), A. Zotov, Relativistic elliptic matrix tops and finite Fourier transformations, Modern Phys. Lett. A, 32:32 (2017), , 22 pp., arxiv: A. Levin, M. Olshanetsky, A. Zotov, Yang Baxter equations with two Planck constants, J. Phys. A: Math. Theor., 49:1 (2016), 14003, 19 pp., Exactly Solved Models and Beyond: a special issue in honour of R. J. Baxter's 75th birthday, arxiv: M. Beketov, A. Liashyk, A. Zabrodin, A. Zotov, Trigonometric version of quantum classical duality

2 in integrable systems, Nuclear Phys. B, 903 (2016), , arxiv: Ivan Sechin, Andrei Zotov, Associative Yang Baxter equation for quantum (semi )dynamical R matrices, J. Math. Phys., 57:5 (2016), 53505, 14 pp., arxiv: A. M. Levin, M. A. Olshanetsky, A. V. Zotov, Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero Moser systems, and KZB equations, Theoret. and Math. Phys., 188:2 (2016), , arxiv: Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, Noncommutative extensions of elliptic integrable Euler Arnold tops and Painlevé VI equation, J. Phys. A: Math. Theor, 49:39 (2016), , 26 pp., arxiv: А. В. Зотов, Старшие аналоги условия унитарности для квантовых R матриц, ТМФ, 189:2 (2016), , arxiv: G. Aminov, H. W. Braden, A. Mironov, A. Morozov, A. Zotov, Seiberg Witten curves and doubleelliptic integrable systems, J. High Energy Phys., 2015, no. 1, 033, 15 pp., arxiv: G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, Classical integrable systems and Knizhnik Zamolodchikov Bernard equations, JETP Letters, 101:9 (2015), A. Zabrodin, A. Zotov, Classical quantum correspondence and functional relations for Painlevé equations, Constr. Approx., 41:3 (2015), , arxiv: Zengo Tsuboi, Anton Zabrodin, Andrei Zotov, Supersymmetric quantum spin chains and classical integrable systems, J. High Energy Phys., 2015, no. 5, 086, 43 pp., arxiv: A. M. Levin, M. A. Olshanetsky, A. V. Zotov, Quantum Baxter Belavin R matrices and multidimensional Lax pairs for Painlevé VI, Theoret. and Math. Phys., 184:1 (2015), , arxiv: A. Gorsky, A. Zabrodin, A. Zotov, Spectrum of quantum transfer matrices via classical many body systems, J. High Energy Phys., 2014, no. 1, 070, 28 pp., arxiv: А. М. Левин, М. А. Ольшанецкий, А. В. Зотов, Классификация изомонодромных задач на эллиптических кривых, УМН, 69:1(415) (2014), , arxiv: G. Aminov, S. Arthamonov, A. Smirnov, A. Zotov, Rational top and its classical r matrix, J. Phys. A: Math. Theor., 47:30 (2014), , 19 pp., arxiv: A. Levin, M. Olshanetsky, A. Zotov, Relativistic classical integrable tops and quantum R matrices, J. High Energy Phys., 2014, no. 7, 012, arxiv: A. Levin, M. Olshanetsky, A. Zotov, Classical integrable systems and soliton equations related to

3 eleven vertex R matrix, Nuclear Physics B, 887 (2014), , arxiv: A. Levin, M. Olshanetsky, A. Zotov, Planck constant as spectral parameter in integrable systems and KZB equations, JHEP, 2014, no. 10, 109, 29 pp., arxiv: v A. D. Mironov, A. Yu. Morozov, Y. Zenkevich, A. V. Zotov, Spectral duality in integrable systems from AGT conjecture, arxiv: JETP Letters, 97:1 (2013), A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, Spectral duality between Heisenberg chain and Gaudin model, Lett. Math. Phys., 103:3 (2013), , arxiv: A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, Characteristic classes of SL(N,C) bundles and quantum dynamical elliptic R matrices, J. Phys. A: Math. Theor., 46:3 (2013), , 25 pp., arxiv: А. В. Зотов, А. В. Смирнов, Модификации расслоений, эллиптические интегрируемые системы и связанные задачи, ТМФ, 177:1 (2013), G. Aminov, A. Mironov, A. Morozov, A. Zotov, Three particle integrable systems with elliptic dependence on momenta and theta function identities, Phys. Lett. B, 726:4 5 (2013), , arxiv: A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, Spectral dualities in XXZ spin chains and five dimensional gauge theories, J. High Energy Phys., 2013, no. 12, 034, 11 pp., arxiv: A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, Characteristic classes and Hitchin systems. General construction, Comm. Math. Phys., 316:1 (2012), 1 44, arxiv: A. Zabrodin, A. Zotov, Quantum Painlevé Calogero correspondence for Painlevé VI, J. Math. Phys., 53:7 (2012), , 19 pp., arxiv: A. Zabrodin, A. Zotov, Quantum Painlevé Calogero correspondence, J. Math. Phys., 53:7 (2012), , 19 pp., arxiv: A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, Calogero Moser systems for simple Lie groups and characteristic classes of bundles, J. Geom. Phys., 62:8 (2012), , arxiv: Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov, Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non Trivial Bundles, SIGMA, 8 (2012), 095, 37 pp., arxiv:

4 Andrei V. Zotov, 1+1 Gaudin Model, SIGMA, 7 (2011), 067, 26 pp., arxiv: Andrey M. Levin, Mikhail A. Olshanetsky, Andrei V. Zotov, Monopoles and Modifications of Bundles over Elliptic Curves, SIGMA, 5 (2009), 065, 22 pp., arxiv: A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, Quadratic algebras related to elliptic curves, Theoret. and Math. Phys., 156:2 (2008), , arxiv: A. Levin, A. Zotov, On rational and elliptic forms of Painlevé VI equation, Moscow Seminar on Mathematical Physics. II, Amer. Math. Soc. Transl. Ser. 2, 221, Amer. Math. Soc., Providence, RI, 2007, A. V. Zotov, A. M. Levin, Integrable Model of Interacting Elliptic Tops, Theoret. and Math. Phys., 146:1 (2006), Yu. Chernyakov, A. M. Levin, M. Olshanetsky, A. Zotov, Elliptic Schlesinger system and Painlevé VI, J. Phys. A: Math. Gen., 39:39 (2006), , arxiv: nlin/ A. M. Levin, M. A. Olshanetsky, A. V. Zotov, Painlevé VI, rigid tops and reflection equation, Comm. Math. Phys., 268:1 (2006), , arxiv: math/ A. V. Zotov, Classical integrable systems and their field theoretical generalizations, Physics of Particles and Nuclei, 37:3 (2006), M. A. Olshanetsky, A. V. Zotov, Isomonodromic problems on elliptic curve, rigid tops and reflection equations, Elliptic Integrable Systems, Rokko Lectures in Mathematics, 18, eds. M. Noumi, K. Takasaki, Kobe University, Japan, 2005, A. Zotov, Elliptic linear problem for the Calogero Inozemtsev model and Painlevé VI equation,

5 Lett. Math. Phys., 67:2 (2004), , arxiv: hep th/ A. Zotov, Elliptic linear problem for Painlevé VI equation with spectral parameter, Quantum groups and integrable systems, Czechoslovak J. Phys., 53:11 (2003), H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky, A. V. Zotov, Classical r matrices and the Feigin Odesskii algebra via Hamiltonian and Poisson reductions, J. Phys. A, 36:25 (2003), , arxiv: hep th/ A. M. Levin, M. A. Olshanetsky, A. Zotov, Hitchin systems symplectic Hecke correspondence and two dimensional version, Comm. Math. Phys., 236:1 (2003), , arxiv: nlin/ А. В. Зотов, Ю. Б. Черняков, Интегрируемые многочастичные системы, полученные с использованием предела Иноземцева, ТМФ, 129:2 (2001), , arxiv: hep th/ A. Zotov, On relation between Weyl and Kontsevich quantum products. Direct evaluation up to the 3 order, Modern Phys. Lett. A, 16:10 (2001),