Andrey Marshakov

Publications³⁷

• Article Gavrylenko P., Marshakov A., Stoyan A. Irregular conformal blocks, Painlevé III and the blow-up equations // Journal of High Energy Physics. 2020. Vol. 12. Article 125. 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 Marshakov A., Семенякин Н. С. Cluster integrable systems and spin chains // Journal of High Energy Physics. 2019. Vol. 100. No. 10. P. 1-52. 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
• 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 Gavrylenko P., Marshakov A. Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations // Journal of High Energy Physics. 2016. Vol. 2016. No. 2. P. 1-31. doi
• Article Gavrylenko P., Marshakov A. Free fermions, W-algebras, and isomonodromic deformations // Theoretical and Mathematical Physics. 2016. Vol. 87. No. 2. P. 649-677. doi
• Article Kruglinskaya O., Marshakov A. On Lie groups and Toda lattices // Journal of Physics A: Mathematical and Theoretical. 2015. P. 1-30. doi (in press)
• Preprint Marshakov A., Fock V. Loop groups, Clusters, Dimers and Integrable systems / Cornell University. Series math "arxiv.org". 2014.
• Article Gavrylenko P., Marshakov A. Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks // Journal of High Energy Physics. 2014. No. 5. P. 97.
• Article Gavrilenko P. G., Marshakov A. Residue formulas for prepotentials, instanton expansions and conformal blocks // Journal of High Energy Physics. 2014. No. 05 doi
• Article Marshakov A. On Lie groups, cluster variables and integrable systems // International Journal of Modern Physics A. 2013. Vol. 28. No. 3-4. P. 1340007. doi
• Article Marshakov A. Tau-functions for Quiver Gauge Theories // Journal of High Energy Physics. 2013. Vol. 07. P. 086. doi
• Article Marshakov A. Lie Groups, Cluster Variables and Integrable Systems // Journal of Geometry and Physics. 2012. Vol. 003. P. 16-36. doi
• Article Marshakov A., Миронов А. Д., Морозов А. Ю. On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles // Journal of Geometry and Physics. 2011. Vol. 61. P. 1203-1222.
• Article Marshakov A. On Gauge Theories as Matrix Models // Theoretical and Mathematical Physics. 2011. Vol. 169. No. 3. P. 1704-1723.
• Article Marshakov A. From geometry of jets to quasiclassical hierrachies // Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications. 2010. No. 109. P. 223-238.
• Article Marshakov A., Morozov A., Mironov A. On combinatorial expansions of conformal blocks // Theoretical and Mathematical Physics. 2010. No. 194. P. 3-27.
• Article Marshakov A. Period Integrals, Quantum Numbers and Confinement in SUSY QSD // Theoretical and Mathematical Physics. 2010. No. 165. P. 488-502.
• Article Yung A., Marshakov A. Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD // Nuclear Physics B. 2010. No. 831. P. 72-104.
• Article Gamayun O., Losev A. S., Marshakov A. First Order String Theory and the Kodaira-Spencer Equations I // Journal of High Energy Physics. 2009. No. 0909(028). P. 1-13.
• Article Gamayun O., Marshakov A. First Order String Theory and the Kodaira-Spencer Equations II // Journal of High Energy Physics. 2009. No. 0909(065). P. 1-22.
• Article Marshakov A. Non Abelian gauge theories, prepotentials and Abelian differentials // Theoretical and Mathematical Physics. 2009. No. 159. P. 598-617.
• Article Marshakov A. Nonabelian gauge theories and Abelian differentials // Springer Proceedings in Mathematics & Statistics. 2009. P. 257-274.
• Article Marshakov A., Mironov A., Morozov A. On non-conformal limit of the AGT relations // Physics Letters B. 2009. No. 682. P. 125-129.
• Article Marshakov A. On two-dimensional quantum gravity and quasiclassical integrable hierarchies // Journal of Physics A: Mathematical and Theoretical. 2009. No. 42(304021). P. 1-16.
• Article Marshakov A., Mironov A., Morozov A. Zamolodchikov asymptotic formula and instanton expansion in N =2 SUSY N_f = 2 N_c QCD // Journal of High Energy Physics. 2009. No. 11(048). P. 1-15.
• Article Marshakov A. On Microscopic Origin on Integrability in Seiberg-Witten Theory // Theoretical and Mathematical Physics. 2008. No. 154. P. 362-384.
• Article Marshakov A. Seiberg-Witten theory and extended Toda hierarchy // Journal of High Energy Physics. 2008. No. 0803 . P. 55.
• Article Nekrasov N., Marshakov A. Extended Seiberg-Witten theory and integrable hierarchy // Journal of High Energy Physics. 2007. No. 0701. P. 104.
• Article Morozov A., Braden H., Mironov A., Marshakov A. WDVV equitations for 6d Seiberg-Witten theory and bi-elliptic curves  // Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications. 2007. No. 99:3. P. 223-244.
• Article Marshakov A. Matrix Model and Stationary Problem in Toda Chain // Theoretical and Mathematical Physics. 2006. No. 146. P. 3-16.
• Article Marshakov A. Matrix models, complex Geometry and integrable systems I // Theoretical and Mathematical Physics. 2006. No. 147. P. 583-636.
• Article Marshakov A. Matrix models, complex Geometry and integrable systems II // Theoretical and Mathematical Physics. 2006. No. 147. P. 777-820.
• Article Marshakov A., Zeitlin A., Losev A. S. On first order formalizm in string theory // Physics Letters B. 2006. No. В 633. P. 375-381.