Andrei Zotov
PhD
Research interests
Scientific interests of Andrei Zotov are mainly related to the theory of integrable systems, its methods and numerous applications. A series of his papers is devoted to interrelations (dualities) between different type models. For example, an interesting correspondence was observed between the classical many-body systems and quantum spin chains. Among other issues, these type dualities allow to predict some properties for solutions of the Painleve equations, the Knizhnik-Zamolodchikov equations as well as many other important equations in theoretical and mathematical physics.
Publications
Teaching
Selected publications:
- A. Grekov, A. Zotov, “Characteristic determinant and Manakov triple for the double elliptic integrable system”, SciPost Phys., 10:3 (2021), 055 , 34 pp., arXiv: 2010.08077
- N. Slavnov, A. Zabrodin, A. Zotov, “Scalar products of Bethe vectors in the 8-vertex model”, JHEP, 2020:6 (2020), 123 , 53 pp., arXiv: 2005.11224
- T. Krasnov, A. Zotov, “Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation”, Ann. Henri Poincaré, 20:8 (2019), 2671–2697 , arXiv: 1812.04209
- I. Sechin, A. Zotov, “R-matrix-valued Lax pairs and long-range spin chains”, Phys. Lett. B, 781 (2018), 1–7 , arXiv: 1801.08908
- S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”, J. Math. Phys., 59:10 (2018), 103509 , 36 pp., arXiv: 1712.08851
- 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: 1310.6958
- A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, “Spectral duality between Heisenberg chain and Gaudin model”, Lett. Math. Phys., 103:3 (2013), 299–329 , arXiv: 1206.6349
- A. Zabrodin, A. Zotov, “Quantum Painlevé-Calogero correspondence for Painlevé VI”, J. Math. Phys., 53:7 (2012), 073508 , 19 pp., arXiv: 1107.5672
- A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012), 1–44 , arXiv: 1006.0702
- A. M. Levin, M. A. Olshanetsky, A. Zotov, “Hitchin systems - symplectic Hecke correspondence and two-dimensional version”, Comm. Math. Phys., 236:1 (2003), 93–133 , arXiv: nlin/0110045
Publications affiliated with ITMP:
- Zabrodin, A.; Zotov, A. (2022). "Field analogue of the Ruijsenaars-Schneider model". Journal of High Energy Physics. 23 (2022). arXiv: 2107.01697 [math-ph]. doi: 10.1007/JHEP07(2022)023.
- Matushko, M.; Zotov, A. (2022). "On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators". Theoretical and Mathematical Physics. 213 (2022). arXiv: 2211.08529 [math-ph]. doi: 10.1134/S0040577922110046.
physics and mathematics
