Lomonosov Moscow State University


Yegor Zenkevich


Research interests

I study integrable systems, matrix models and two-dimensional conformal field theories. Currently I am trying to better understand the connection between quantum toroidal algebras, gauge theories, topological strings and possible generalizations thereof.


Selected publications:

  1. Y. Zenkevich, Higgsed network calculus, arXiv:1812.11961 [hep-th].
  2. H. Awata, H. Kanno, A. Mironov, A. Morozov, A. Morozov, Y. Ohkubo and Y. Zenkevich, (q,t)-KZ equation for Ding-Iohara-Miki algebra, Phys. Rev. D 96 (2017) no.2, 026021 arXiv:1703.06084 [hep-th].
  3. H. Awata, H. Kanno, A. Mironov, A. Morozov, A. Morozov, Y. Ohkubo and Y. Zenkevich, Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations, JHEP 1610 (2016) 047 [arXiv:1608.05351 [hep-th]].
  4. A. Mironov, A. Morozov and Y. Zenkevich, Ding-Iohara-Miki symmetry of network matrix models, Phys. Lett. B 762 (2016) 196 [arXiv:1603.05467 [hep-th]].
  5. Y. Zenkevich, Generalized Macdonald polynomials, spectral duality for conformal blocks and AGT correspondence in five dimensions, JHEP 1505 (2015) 131 [arXiv:1412.8592 [hep-th]].
  6. A. Mironov, A. Morozov, B. Runov, Y. Zenkevich and A. Zotov, Spectral Duality in Integrable Systems from AGT Conjecture, JETP Lett. 97 (2013) 45 [arXiv:1204.0913 [hep-th]].

Publications affiliated with ITMP:

  1. Morozov, A.;  Reva, M.; Tselousov, N.; Zenkevich, Y. (2022). "Polynomial representations of classical Lie algebras and flag varieties". arXiv: 2202.11683 [hep-th]. doi: 10.1016/j.physletb.2022.137193.
  2. Y. Zenkevich (2021), «Mixed network calculus» . arXiv:2012.15563
  3. M. Ghoneim, C. Kozçaz, K. Kurşun, Y. Zenkevich (2021), «4d higgsed network calculus and elliptic DIM algebra». Nuclear Physics B. 978 (2022) 115740. arXiv: 2012.15352 [hep-th]. doi: 10.1016/j.nuclphysb.2022.115740.
  4. Morozov, A.; Reva, M.; Tselousov, N.; Zenkevich, Y. (2021). "Irreducible representations of simple Lie algebras by differential operators". arXiv: 2106.03638
  5. Mironov, A.; Morozov, A.; Zenkevich, Y. (2021). "Duality in elliptic Ruijsenaars system and elliptic symmetric functions". The European Physical Journal C. 461 (2021)  81. arXiv: 2103.02508
  6. Zenkevich, Y. (2021). "On pentagon identity in Ding-Iohara-Miki algebra". Journal of High Energy Physics. 03 (2023) 193. arXiv: 2112.14687 [math.QA]. doi: 10.1007/JHEP03(2023)193.
  7. P. Gavrylenko, M. Semenyakin, Y. Zenkevich (2020), «Solution of tetrahedron equation and cluster algebras» . arXiv:2010.15871.
  8. M. Fitkevich, D. Levkov, Y. Zenkevich (2020), «Dilaton gravity with a boundary: from unitarity to black hole evaporation» , JHEP 2006 (2020) 184 . arXiv:2004.13745 , DOI:10.1007/JHEP06(2020)184.
  9. Y. Zenkevich (2020), «glN Higgsed networks» . arXiv:1912.13372
  10. F. Nieri, Y. Zenkevich (2019), «Quiver Wϵ1,ϵ2 algebras of 4d N=2 gauge theories» , J.Phys. A53 (2020) 275401 . arXiv:1912.09969 , DOI:10.1088/1751-8121/ab9275

All publications


physics and mathematics