Mikhail Bershtein

Publications²⁸

• Article Bershtein M., Gonin R. Twisted and non-twisted deformed Virasoro algebras via vertex operators of U-q((sl)over-cap(2)) // Letters in Mathematical Physics. 2021. Vol. 111. No. 1. Article 22. doi
• Article Bershtein M., Gonin R. Twisted Representation of Algebra of q-Difference Operators, Twisted q-W Algebras and Conformal Blocks // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020. Vol. 16. P. 077. doi
• Article Bershtein M., Gavrylenko P., Marshakov A. Cluster Toda Chains and Nekrasov Functions // Theoretical and Mathematical Physics. 2019. Vol. 198. No. 2. P. 157-188. doi
• Article Bershtein M., Tsymbaliuk A. Homomorphisms between different quantum toroidal and affine Yangian algebras // Journal of Pure and Applied Algebra. 2019. Vol. 223. No. 2. P. 867-899. doi
• Article Bershtein M., Shchechkin A. Painlevé equations from Nakajima–Yoshioka blowup relations // Letters in Mathematical Physics. 2019. Vol. 109. No. 11. P. 2359-2402. doi
• Article Bershtein M., Shchechkin A. Painlevé equations from Nakajima–Yoshioka blowup relations // Letters in Mathematical Physics. 2019. Vol. 109. No. 11. P. 2359-2402. doi
• Article Берштейн М. А., Гавриленко П. Г., Маршаков А. В. Кластерные цепочки Тоды и функции Некрасова // Теоретическая и математическая физика. 2019. Т. 198. № 2. С. 179-214. doi
• Preprint Bershtein M., Gavrylenko P., Marshakov A. Cluster Toda chains and Nekrasov functions / Cornell University. Series math "arxiv.org". 2018.
• Article Bershtein M., Gavrylenko P., Marshakov A. Cluster integrable systems, q-Painleve equations and their quantization // Journal of High Energy Physics. 2018. Vol. 2018. No. 2. P. 1-33. doi
• Preprint Bershtein M., Shchechkin A. Painlevé equations from Nakajima-Yoshioka blow-up relations / Cornell University. Series math "arxiv.org". 2018.
• Article Bershtein M., Feigin B. L., Merzon G. Plane partitions with a “pit”: generating functions and representation theory // Selecta Mathematica, New Series. 2018. Vol. 24. No. 1. P. 21-62. doi
• Article Bershtein M., Gavrylenko P., Marshakov A. Twist-field representations of W-algebras, exact conformal blocks and character identities // Journal of High Energy Physics. 2018. Vol. 08. No. 108. P. 1-54. doi
• Article Bershtein M., Shchechkin A. Bäcklund transformation of Painlevé III(D 8) τ function // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 11. P. 1-28. doi
• Article Bershtein M., Bonelli G., Ronzani M., Tanzini A. Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants // Journal of Geometry and Physics. 2017. Vol. 118. P. 40-50. doi
• Article Bershtein M., Shchechkin A. q-deformed Painlevé τ function and q-deformed conformal blocks // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 8. P. 1-20. doi
• Article Bershtein M., Feigin B. L., Litvinov A. Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations // Letters in Mathematical Physics. 2016. Vol. 106. No. 1. P. 29-56. doi
• Article Bershtein M., Bonelli G., Tanzini A., Ronzani M. Exact results for N=2 supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants // Journal of High Energy Physics. 2016. No. 723-39. doi
• Article M.A. Bershtein, A.I.Shchechkin. Bilinear equations on Painleve tau functions from CFT // Communications in Mathematical Physics. 2015. Vol. 339. No. 3. P. 1021-1061. doi (in press)
• Preprint Bershtein M., Tsymbaliuk A. Homomorphisms between different quantum toroidal and affine Yangian algebras / Cornell University. Series arXiv "math". 2015. No. 1512.09109.
• Article M.Bershtein, Foda O. AGT, Burge pairs and minimal models // Journal of High Energy Physics. 2014. Vol. 06. No. 177 doi
• Article Берштейн М. А., Мерзон Г. А. Диаграммы Юнга, пути на решётке и метод отражений // Математическое просвещение. 2014. № 18. С. 112-141.
• Article Belavin A., Bershtein M., Tarnopolsky G. Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity // Journal of High Energy Physics. 2013. No. 3. P. 1-36.
• Article Belavin A., Bershtein M., Feigin B. L., Litvinov A., Tarnopolsky G. Instanton Moduli Spaces and Bases in Coset Conformal Field Theory // Communications in Mathematical Physics. 2012. P. 1-33. doi
• Article Bershtein M., Tarnopolsky G., Belavin A. A remark on the three approaches to 2D Quantum gravity // JETP Letters. 2011. Vol. 93. No. 2. P. 51-55.
• Article Bershtein M., Белавин А. А., Белавин В. А. Instantons and 2d Superconformal field theory // Journal of High Energy Physics. 2011. Vol. 9. No. 117
• Article Bershtein M., Литвинов А. В., Фатеев В. А. Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory // Nuclear Physics B. 2011. Vol. 847. No. 2. P. 413-459.
• Article Берштейн М. А., Алексеев О. В. Кольцо физических состояний в M(2,3) минимальной лиувиллевской гравитации // Теоретическая и математическая физика. 2010. Т. 164. № 1. С. 119-140.
• Article Khoroshkin A., Dotsenko V., Bershtein M. Quadratic algebras related to the bihamiltonian operad // International Mathematics Research Notices. 2007. Vol. 24. P. 1-30.