Андрей Маршаков

директор
Центра перспективных исследований
им. И.М. Кричевера

профессор / Сколковский институт науки и технологий
профессор / Национальный исследовательский университет “Высшая школа экономики” / факультет математики
ведущий научный сотрудник / Физический институт им.П.Н.Лебедева РАН

Профессиональные интересы:
математическая физика, интегрируемые системы, теория струн, конформная теория, матричные модели

Образование, учёные степени

1987 / Московский государственный университет / факультет физический
1991 / Кандидат физико-математических наук / Физический институт им. П.Н. Лебедева РАН / специальность 01.04.02 “Теоретическая физика” / тема диссертации: “Континуальное представление теорий струн с расширенной конформной симметрией”
1997 / Доктор физико-математических наук / Физический институт им. П.Н. Лебедева РАН / специальность 01.04.02 “Теоретическая физика” / тема диссертации: “Точные непертурбативные решения квантовой теории и интегрируемые системы”

Публикации

  1. P. Gavrylenko, A. Marshakov, A. Stoyan, “Irregular conformal blocks, Painlevé III and the blow-up equations”, J. High Energ. Phys. 2020, 125 (2020). https://doi.org/10.1007/JHEP12(2020)125 [ PDF: English, arXiv: 2006.15652 ]
  2. M. Bershtein, P. Gavrylenko, A. Marshakov, “Cluster Toda chains and Nekrasov functions”, Theoret. and Math. Phys., 198:2 (2019), 157–188 [ PDF: English, arXiv: 1804.10145 ]
  3. A. Marshakov, M. Semenyakin, “Cluster integrable systems and spin chains”, J. High Energ. Phys. (2019) 2019: 100, doi.org/10.1007/JHEP10(2019)100 [ PDF: English, arXiv: 1905.09921 ]
  4. M. Bershtein, P. Gavrylenko, A. Marshakov, “Cluster integrable systems, q-Painleve equations and their quantization”, J. High Energy Phys., 1802, 077 (2018); [ PDF: English, arXiv: 1711.02063 ]
  5. M. Bershtein, P. Gavrylenko, A. Marshakov, “Twist-field representations of W-algebras, exact conformal blocks and character identities”, [ PDF: English, arXiv: 1705.00957 ]
  6. П. Г. Гавриленко, А. В. Маршаков, “Свободные фермионы, W-алгебры и изомонодромные деформации”, Теорет. матем. физика, 187:2 (2016), 232–262; Theoret. and Math. Phys., 187:2 (2016), 649–677. [ PDF: English, arXiv: 1605.04554 ]
  7. P. Gavrylenko, A. Marshakov, “Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations”, J. High Energ. Phys. 02 (2016) 181. [ PDF: English, arXiv: 1507.08794 ]
  8. O. Kruglinskaya, A. Marshakov, “On Lie Groups and Toda Lattices”, J. Phys. A48 (2015) 125201, [ PDF: English, arXiv: 1404.6507 ]
  9. V. V. Fock, A. Marshakov, “Loop Groups, Clusters, Dimers and Integrable Systems”, in “Geometry and Quantization of Moduli Spaces”, the series “Advanced Courses in Mathematics CRM Barcelona”. [ PDF: English, arXiv: 1401.1606 ]
  10. P. Gavrylenko, A. Marshakov, “Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks”, J. High Energ. Phys. 05 (2014) 097. [ PDF: English, arXiv: 1312.6382 ]
  11. A. Marshakov, “Tau-functions for Quiver Gauge Theories”, J. High Energ.Phys. 07 (2013) 068. [ PDF: English, arXiv: 1303.0753 ]
  12. A. Marshakov, “On Lie Groups, Cluster Variables and Integrable Systems”, Int. J. Mod. Phys. A28 (2013) 1340007.
  13. A. Marshakov, “Lie Groups, Cluster Variables and Integrable Systems”, J. Geom. Phys. 67 (2013) 1636. [ PDF: English, arXiv: 1207.1869 ]
  14. A.Marshakov, A.Mironov, A.Morozov, “On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles”, J.Geom.Phys.61:1203-1222,2011, [ PDF: English, arXiv: 1011.4491 ]
  15. А. Маршаков, “О калибровочных теориях как матричных моделях”, Теорет. матем. физика, 169:3 (2011), 391–412; Theoret. and Math. Phys., 169:3 (2011), 1704–1723, [ PDF: English, arXiv: 1101.0676 ]
  16. A. Marshakov, “Period Integrals, Quantum Numbers and Confinement in SUSY QCD”, Theor. Math. Phys. 165 (2010) 488-502. [ PDF: English, arXiv: 1003.2089 ]
  17. A. Marshakov, A. Yung, “Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD”, Nucl. Phys. B831 (2010) 72-104. [ PDF: English, arXiv: 0912.1366 ]
  18. A. Marshakov, A. Mironov, A. Morozov, “Zamolodchikov asymptotic formula and instanton expansion in N = 2 SUSY N_f = 2N_c QCD”, J. High Energ.Phys. 11 (2009) 048. [ PDF: English, arXiv: 0909.3338 ]
  19. A. Marshakov, A. Mironov, A. Morozov, “On non-conformal limit of the AGT relations”, Phys. Lett. B682 (2009) 125-129. [ PDF: English, arXiv: 0909.2052 ]
  20. А. В. Маршаков, А. Д. Миронов, А. Ю. Морозов, “О комбинаторных разложениях конформных блоков”, Теорет. матем. физика, 164:1 (2010), 3–27; Theoret. and Math. Phys., 164:1 (2010), 831–852. [ PDF: English, arXiv: 0907.3946 ]
  21. value=”121″O. Gamayun, A. Marshakov, “First Order String Theory and the Kodaira-Spencer Equations. II”, J. High Energ.Phys., 0909 (2009) 065. [ PDF: English, arXiv: 0907.1503 ]
  22. O. Gamayun, A.S. Losev, A. Marshakov, “First Order String Theory and the Kodaira-Spencer Equations. I”, J. High Energ.Phys., 0909 (2009) 028. [ PDF: English, arXiv: 0906.4746 ]
  23. A. Marshakov, “On two-dimensional quantum gravity and quasiclassical integrable hierarchies”, (based on talk at the conference dedicated to the memory of Alexei B. Zamolodchikov, Moscow, June 2008), J.Phys. A42 (2009) 304021. [ PDF: English, arXiv: 0902.4833 ]
  24. A. Marshakov, “Nonabelian gauge theories and Abelian differentials”, in Differential equations: geometry, symmetries and integrability, Proceedings of the Abel Symposium 2008, Springer 2009, pp. 257-274.
  25. A. Marshakov, “From geometry of jets to quasiclassical hierarchies, Acta Applicandae Mathematicae”, 109 (2010) 223-238.
  26. А. В. Маршаков, “Неабелевы калибровочные теории, препотенциалы и абелевы дифференциалы”, Теорет. матем. физика, 164:1 (2010), 3–27; Theoret. and Math. Phys., 164:1 (2010), 831–852. [ PDF: English, arXiv: 0810.1536 ]
  27. A. Marshakov, “Seiberg-Witten theory and extended Toda hierarchy”, J. High Energ.Phys., 0803 (2008) 055. [ PDF: English, arXiv: 0712.2802 ]
  28. А. В. Маршаков, “О микроскопическом происхождении интегрируемости в теории Виттена–Зайберга”, Теорет. матем. физика, 154:3 (2008), 424–450; Theoret. and Math. Phys., 154:3 (2008), 362–384. [ PDF: English, arXiv: 0706.2857]
  29. A. Marshakov, N. Nekrasov, “Extended Seiberg-Witten theory and integrable hierarchy”, JHEP 0701 (2007) 104, hep-th/. [ PDF: English, arXiv: hep-th/0612019 ]
  30. H. W. Braden, A. Marshakov, A. Mironov, A. Morozov, “WDVV equations for 6d Seiberg-Witten theory and bi-elliptic curves”, Acta Applicandae Mathematicae, 99:3 (2007) 223-244. [ PDF: English, arXiv: hep-th/0606035 ]
  31. А. В. Маршаков, “Матричные модели, комплексная геометрия и интегрируемые системы. II”, Теорет. матем. физика, 147:3 (2006), 399–449; Theoret. and Math. Phys., 147:3 (2006), 777–820. [ PDF: English, arXiv: hep-th/0601214 ]
  32. А. В. Маршаков, “Матричные модели, комплексная геометрия и интегрируемые системы. I”, Теорет. матем. физика, 147:2 (2006), 163–228; Theoret. and Math. Phys., 147:2 (2006), 583–636. [ PDF: English, arXiv: hep-th/0601212 ]
  33. A. Losev, A. Marshakov, A. Zeitlin, “On first order formalism in string theory”, Phys. Lett. B633 (2006) 375-381. [ PDF: English, arXiv: hep-th/0510065 ]
  34. А. В. Маршаков, “Матричная модель и стационарная задача в цепочке Тоды”, Теорет. матем. физика, 146:1 (2006), 3–16; Theoret. and Math. Phys., 146:1 (2006), 1–12. [ PDF: English, arXiv: hep-th/0507071 ]
  35. Л. О. Чехов, А. В. Маршаков, А. Д. Миронов, Д. Васильев, “Комплексная геометрия матричных моделей”, Нелинейная динамика, Сборник статей, Тр. МИАН, 251, Наука, М., 2005, 265–306; Proc. Steklov Inst. Math., 251 (2005), 254–292. [ PDF: English, arXiv: hep-th/0506075 ]
  36. A. Marshakov, A. Niemi, “Yang-Mills, Complex Structures and Chern’s Last Theorem”, Mod.Phys.Lett. A20 (2005) 2583-2600. [ PDF: English, arXiv: hep-th/0501050 ]
  37. V. Markov, A. Marshakov, A. Yung, “Non-Abelian vortices in N = 1* gauge theory”, Nucl. Phys. B709 (2005) 267-295. [ PDF: English, arXiv: hep-th/0408235 ]
  38. А. В. Маршаков, “Квазиклассическая геометрия и интегрируемость АдС/КТП-соответствия”, Теорет. матем. физика, 142:2 (2005), 265–283; Theoret. and Math. Phys., 142:2 (2005), 222–236. [ PDF: English, arXiv: hep-th/0406056 ]
  39. V. A. Kazakov, A. Marshakov, J. A. Minahan, K. Zarembo, “Classical/quantum integrability in AdS/CFT”, High Energ.Phys., 0405 (2004). [ PDF: English, arXiv: hep-th/0402207 ]
  40. A. Marshakov, “Strings, integrable systems, geometry and statistical models”, Proceedings of V International Workshop ”Lie Theory and Its Applications in Physics”, (Varna, June 2003), eds. H.-D. Doebner and V.K. Dobrev, (World Sci, Singapore, 2004, ISBN 981-238-936-9). [ PDF: English, arXiv: hep-th/0401199 ]
  41. A. Marshakov, A. Zabrodin, “On the Dirichlet Boundary Problem and Hirota Equations”, in NATO Science Series 201, Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete, L.Faddeev, P.Van Moerbeke and F.Lambert (eds.), Springer 2006, pp. 175-190. [ PDF: English, arXiv: hep-th/0305259 ]
  42. I.Krichever, A. Marshakov, A. Zabrodin, “Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains”, Commun.Math.Phys. 259 (2005) 1-44. [ PDF: English, arXiv: hep-th/0309010 ]
  43. A. Losev, A. Marshakov, N. Nekrasov. “Small Instantons, Little Strings and Free Fermions”, Ian Kogan memorial volume, M.Shifman, A.Vainshtein and J. Wheater (eds.) From elds to strings: circumnavigating theoretical physics, 581-621. [ PDF: English, arXiv: hep-th/0302191 ]
  44. L. Chekhov, A. Marshakov, A. Mironov, D. Vasiliev, “DV and WDVV”, Phys.Lett. B562 (2003) 323-338. [ PDF: English, arXiv: hep-th/0301071 ]
  45. V. Kazakov, A. Marshakov, “Complex Curve of the Two Matrix Model and its Tau-function”, J. Phys. A: Math. Gen. 36 (2003) 3107-3136, (special issue devoted to Random Matrix Theory); hep-th/ . [ PDF: English, arXiv: hep-th/0211236 ]
  46. А. В. Маршаков, “Теория струн или теория поля?”, УФН, 172:9 (2002), 977–1020; Phys. Usp., 45:9 (2002), 915–954. [ PDF: English, arXiv: hep-th/0212114 ]
  47. H. W. Braden, A. Marshakov, “WDVV Equations as Functional Relations”, Phys. Lett. B541 (2002) 376-383. [ PDF: English, arXiv: hep-th/0205308 ]
  48. A. Marshakov, A. Yung, “Non Abelian Confinement via Abelian Flux Tubes in Softly Broken N=2 SUSY QCD, Nucl. Phys. B647 (2002) 3-48. [ PDF: English, arXiv: hep-th/0202172 ]
  49. А. В. Маршаков, “Об уравнениях ассоциативности”, Теорет. матем. физика, 132:1 (2002), 3–49; Theoret. and Math. Phys., 132:1 (2002), 895–933. [ PDF: English, arXiv: hep-th/0201267 ]
  50. A. Marshakov, P. Wiegmann, A. Zabrodin, “Integrable Structure of the Dirichlet Boundary Problem in Two Dimensions”, Commun. Math. Phys. 227 (2002) 131-153. [ PDF: English, arXiv: hep-th/0109048 ]
  51. A. Marshakov, “Associativity Equations in Effective SUSY Quantum Field Theories”, in Supersymmetry and Unification of Fundamental Interactions, Eds. D.Kazakov and A.Gladyshev, World Scientific 2002, pp 370-381. [ PDF: English, arXiv: hep-th/0108023 ]
  52. Б. де Вит, А. В. Маршаков, “Электромагнитная дуальность и уравнения Виттена–Дийкграафа–Верлинде–Верлинде”, Теорет. матем. физика, 129:2 (2001), 230–238; Theoret. and Math. Phys., 129:2 (2001), 1504–1510. [ PDF: English, arXiv: hep-th/0105289 ]
  53. A. Boyarsky, A. Marshakov, O. Ruchayskiy, P. Wiegmann, A. Zabrodin, “On Associativity Equations in Dispersionless Integrable Hierarchies”, Phys. Lett. B515 (2001) 483-492. [ PDF: English, arXiv: hep-th/0105260 ]
  54. А. В. Маршаков, “О первичном квантовании фермионов в компактных измерениях”, Теорет. матем. физика, 128:3 (2001), 446–460; Theoret. and Math. Phys., 128:3 (2001), 1213–1224. [ PDF: English, arXiv: hep-th/0104109 ]
  55. A. Marshakov, “Seiberg-Witten Toda Chains and N=1 SQCD, in Integrable Hierarchies and Modern Physical Theories”, eds. H .Aratyn and A. Sorin, Nato Science Series, II.Mathematics, Physics and Chemistry – Vol. 18, pp 1-13, Kluwer Academic Publishers, 2001. [ PDF: English, arXiv: hep-th/0011222 ]
  56. H. W. Braden, A. Marshakov, “Singular phases of the Seiberg-Witten integrable systems: weak and strong coupling”, Nucl.Phys. B595 (2001) 417-466. [ PDF: English, arXiv: hep-th/0009060 ]
  57. A. Marshakov, “Duality in integrable systems and generating functions for new Hamiltonians”, Phys. Lett. B476 (2000) 420-426. [ PDF: English, arXiv: hep-th/9912124 ]
  58. H. W. Braden, A. Marshakov, A. Mironov, A. Morozov, “On double-elliptic integrable system. I. Duality argument in the case of SU(2)”, Nucl. Phys. B573 (2000) 553-57. [ PDF: English, arXiv: hep-th/9906240 ]
  59. A. Marshakov, “SUSY gauge theories and Whitham integrable systems from compactification and SUSY breaking”, Prog. Theor. Phys. Suppl. 135 (1999) 1-17 (Proceedings of the 1999 YITP workshop ”Gauge Theory and Integrable Systems”). [ PDF: English, arXiv: hep-th/9906029 ]
  60. А. В. Маршаков, “Струны, суперсимметричные калибровочные теории и интегрируемые системы”, Теорет. матем. физика, 121:2 (1999), 179–243; Theoret. and Math. Phys., 121:2 (1999), 1409–1461.
  61. A. Marshakov, “Seiberg-Witten Curves and Integrable Systems”, in Integrability: The Seiberg-Witten and Whitham Equations, eds. H.Braden and I.Krichever, Gordon and Breach, 2000, pp.69-91. [ PDF: English, arXiv: hep-th/9903252 ]
  62. A. Marshakov, “Seiberg-Witten Theory and Integrable Systems”, World Scientific, 1999.
  63. H. W. Braden, A. Marshakov, A. Mironov, A. Morozov, “The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory, Nucl. Phys. B558 (1999) 371-390. [ PDF: English, arXiv: hep-th/9902205 ]
  64. Exact non-perturbative results in quantum theories and integrable systems (in russian), Lecture Notes on Theoretical and Mathematical Physics, Vol. 2, Part 1, Kazan 1999, pp 27-230..
  65. H. W. Braden, A. Marshakov, A. Mironov, A. Morozov, “Seiberg-Witten Theory for Non-trivial Compactification from Five to Four Dimensions”, Phys. Lett. B448 (1999) 195. [ PDF: English, arXiv: hep-th/9812078 ]
  66. A. Marshakov, A. Mironov, “Seiberg-Witten Systems and Whitham Hierarchies: a Short Review”, preprint FIAN/TD-4/97, ITEP/TH-51/98. [ PDF: English, arXiv: hep-th/9809196 ]
  67. A. Marshakov, “Remarks on Gauge Theories in 3+1 Dimensions, Integrable Systems and SUSY breaking”, in Continuous Advances in QCD 1998 (Ed. A.Smilga), World Scientific 1998, pp 506-517.
  68. A. Marshakov, “Integrability in Supersymmetric Gauge Theories. I”, Phys. Part. Nucl. 30 (1999) 488-526, (Fiz. Elem. Chastits At. Yadra 30 (1999) 1120-1210, in russian).
  69. A. Gorsky, A. Marshakov, A. Mironov, A. Morozov, “RG Equations from Whitham Hierarchy”, Nucl.Phys. B527 (1998) 690-716. [ PDF: English, arXiv: hep-th/9802007 ]
  70. A. Marshakov, A. Mironov, “5D and 6D Supersymmetric Gauge Theories: Prepotentials from Integrable Systems”, Nucl.Phys. B518 (1998) 59-91. [ PDF: English, arXiv: hep-th/9711156 ]
  71. A. Marshakov, “Seiberg-Witten Theory, Integrable Systems and D-branes”, in New Developments in Quantum Field Theory, Plenum Press 1999, NATO ASI Series B: Physics Vol. 366, Eds. P.H.Damgaard and J.Jurkiewicz, pp 279-286. [ PDF: English, arXiv: hep-th/9709001 ]
  72. A. Marshakov, M. Martellini, A. Morozov, “Insights and Puzzles from Branes: 4d SUSY Yang-Mills from 6d Models”, Phys.Lett. B418 (1998) 294-302. [ PDF: English, arXiv: hep-th/9706050 ]
  73. А. Маршаков, “Об интегрируемых системах и суперсимметричных калибровочных теориях”, Теор. Матем. Физика, 112:1 (1997), 3–46; Theoret. and Math. Phys., 112:1 (1997), 791–826. [ PDF: English, arXiv: hep-th/9702083 ]
  74. A. Marshakov, “Lecture on SUSY Gauge Theories and Integrable Systems”, (given at the INTAS school ”Advances in Quantum Field Theory and Statistical Mechanics”), Int. J. Mod. Phys. B11 (1997) 3093-3124.
  75. A. Marshakov, A. Mironov, A. Morozov, “WDVV equations from Algebra of Forms”, Mod. Phys. Lett. A12 (1997) 773-787. [ PDF: English, arXiv: hep-th/9701014 ]
  76. A. Marshakov, “Non-perturbative Quantum Theories and Integrable Equations”, Int.J.Mod.Phys. A12 (1997) 1607-1649. [ PDF: English, arXiv: hep-th/9610242 ]
  77. A. Marshakov, A. Mironov, A. Morozov, “More Evidence for the WDVV Equations in N=2 SUSY Yang-Mills Theories”, Int.J.Mod.Phys. A15 (2000) 1157-1206. [ PDF: English, arXiv: hep-th/9701123 ]
  78. A. Marshakov, “Integrability as Effective Principle of Nonperturbative Field and String Theories”, Proc. of the 2nd A.D.Sakharov Conference of Physics, Eds. I.Dremin and A.Semikhatov, World Scientific, 1997, pp 498-503. [ PDF: English, arXiv: hep-th/9608161 ]
  79. A. Marshakov, A. Mironov, A. Morozov, “WDVV-like equations in N=2 SUSY Yang-Mills Theory”, Phys.Lett. B389 (1996) 43-52. [ PDF: English, arXiv: hep-th/9607109 ]
  80. A. Gorsky, A. Marshakov, A. Mironov, A. Morozov, “From Nonperturbative Supersymmetric Quantum Gauge Theories to Integrable Systems”, in Problems of Quantum Field Theory – 96, Eds. D.Shirkov, D.Kazakov and A.Vladimirov, Dubna, 1996, pp 314-323. [ PDF: English, arXiv: hep-th/9607159 ]
  81. A. Marshakov, “A Note on Spectral Curve for the Periodic Homogeneous XY Z-Spin Chain”, in Problems in Modern Theoretical Physics, Dubna 1996. [ PDF: English, arXiv: hep-th/9604078 ]
  82. A. Gorsky, A. Marshakov, A. Mironov, A. Morozov, “N=2 Supersymmetric QCD and Integrable Spin Chains: Rational Case N_f<2N_c", Phys.Lett. B380 (1996) 75-80. [ PDF: English, arXiv: hep-th/9603140 ]
  83. A. Gerasimov, S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, M. Olshanetsky , “Liouville Type Models in Group Theory Framework. I. Finite-Dimensional Algebras”, Int. J. Mod. Phys. A12 (1997) 2523-2583. [ PDF: English, arXiv: hep-th/9601161]
  84. V. Fock, A. Marshakov, “A note on quantum groups and relativistic Toda theory”, Nucl.Phys. 56B (Proc. Suppl.) (1997) 208-214.
  85. A.Marshakov, “Exact solutions to quantum field theories and integrable equations, Mod.Phys.Lett. A11 (1996) 1169-1183. [ PDF: English, arXiv: hep-th/9602005 ]
  86. A. Gorsky, A. Marshakov, “Towards effective topological gauge theories on spectral curves, Phys.Lett. B375 (1996) 127-134. [ PDF: English, arXiv: hep-th/9510224 ]
  87. A. Gorsky, I. Krichever, A. Marshakov, A. Mironov, A. Morozov, “Integrability and Seiberg-Witten exact solution, Phys.Lett. B355 (1995) 466-474. [ PDF: English, arXiv: hep-th/9505035 ]
  88. А. С. Горский, А. В. Маршаков, А. Ю. Орлов, В. Н. Рубцов, “О третьей пуассоновой структуре уравнения КдФ”, Теор. Матем. Физика, 103:3 (1995), 461–466; Theoret. and Math. Phys., 103:3 (1995), 701–705. [ PDF: English, arXiv: hep-th/9503018 ]
  89. A.Marshakov, “String theory and classical integrable systems”, in Integrable models and strings, Lecture Notes in Physics, 436 (1994) 194. [ PDF: English, arXiv: hep-th/9404126 ]
  90. S. Kharchev, A. Marshakov, “Quantization of c 1 string theories”, in Proceedings of Wendisch-Rietz simposium, (1994). [ PDF: English, arXiv: hep-th/9401010 ]
  91. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, “Generalized Kazakov-Migdal-Kontsevich model: group theory aspects, Int. J. Mod. Phys. A10 (1995) 2015. [ PDF: English, arXiv: hep-th/9312210 ]
  92. S. Kharchev, A. Marshakov, “Integral representations and pq duality in c ≤ 1 2d gravity”, Int. J. Mod. Phys. A10 (1995) 1219. [ PDF: English, arXiv: hep-th/9303100 ]
  93. A. Marshakov, “Integrable structures in matrix models and physics of 2d gravity”, Int. J. Mod. Phys. A8 (1993) 3831-3882. [ PDF: English, arXiv: hep-th/9303101 ]
  94. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, “Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models”, Nucl.Phys. B397 (1993) 339-378. [ PDF: English, arXiv: hep-th/9203043 ]
  95. A. Marshakov, “On String Field Theory for C ≤ 1″, in Proceedings of 16th Johns Hopkins Workshop on Current Problems in Particle Theory: Pathways to Fundamental Theories, Gothenburg-92, (1993)/. [ PDF: English, arXiv: hep-th/9208022 ]
  96. С. М. Харчев, А. В. Маршаков, А. Д. Миронов, А. Ю. Морозов, “Топологические теории типа Гинзбурга–Ландау в подходе обобщенной модели Концевича и эквивалентные иерархии”, Теор. Матем. Физика, 95:2 (1993), 280–292; Theoret. and Math. Phys., 95:2 (1993), 571–582; Mod. Phys. Lett. A8 (1993) 1047-1062. [ PDF: English, arXiv: hep-th/9208046 ]
  97. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, S. Pakuliak, “Conformal Matrix Models as an Alternative to Conventional Multimatrix Models”, Nucl.Phys. B404 (1993) 717-750. [ PDF: English, arXiv: hep-th/9208044 ]
  98. A. Marshakov, A. Mironov, A. Morozov, M. Olshanetsky, “c = rg Theories of WG – Gravity: The set of Observables as a Model of Simply – Laced G”, Nucl.Phys. B404 (1993) 427-456. [ PDF: English, arXiv: hep-th/9203044 ]
  99. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, A. Zabrodin, “Towards unified theory of 2d gravity”, Nucl. Phys. B380 (1992) 181-240. [ PDF: English, arXiv: hep-th9201013 ]
  100. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, A. Zabrodin, “Unification of all string models with c < 1″, Phys.Lett. B275 (1992) 311. [ PDF: English, arXiv: hep-th/9111037 ]
  101. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, A.Zabrodin, “Unification of all string models with c < 1 in the framework of Generalized Kontsevich Model”, JETP Lett. 55 (1992) 13-18.
  102. A. Marshakov, A. Mironov, A. Morozov, “From Ward identities in Kontsevich model to W-constraints in two-matrix models”, Mod.Phys.Lett. A7 (1992) 1345-1359.</li
  103. А. Marshakov, A. Mironov, A. Morozov, “From Virasoro constraints in Kontsevich model to W-constraints in asymmetric 2-matrix models”, JETP Lett. 54 (1991) 536-541. [ PDF: English, arXiv: hep-th/9201010 ]
  104. А. Marshakov, A. Mironov, A. Morozov, “On equivalence of topological and 2d quantum gravity”, Phys.Lett. B274 (1992) 280. [ PDF: English, arXiv: hep-th/9201011 ]
  105. А. Marshakov, A. Mironov, A. Morozov, “Remark on equivalence of topological and quantum 2d gravity”, JETP Lett. 54 (1991) 425-428.
  106. А. Marshakov, A. Mironov, A. Morozov, “Generalized matrix models as conformal theories: discrete case”, Phys.Lett. B265 (1991) 99-107.
  107. S. Kharchev, А. Marshakov, A.Mironov, “Matrix models among integrable theories: forced hierarchies and operator formalism”, Nucl.Phys. B366 (1991) 569-601.
  108. A. Gerasimov, A. Levin, А. Marshakov, “On W-gravity in two dimensions”, Nucl. Phys.B360 (1991) 537-558.
  109. A. Gerasimov, Yu. Makeenko, А. Marshakov, A. Mironov, A. Morozov, A. Orlov, “Matrix models and integrability: from universality to geometrodynamical principle of string theory”, Modern Physics Letters A 6 (33), 3079-3090
  110. Yu. Makeenko, А. Marshakov, A.Mironov, A. Morozov, “Continuum versus discrete Virasoro in 1-matrix models”, Nucl.Phys.B356 (1991) 574-628.
  111. A. Gerasimov, А. Marshakov, A. Mironov, A. Morozov, A. Orlov, “Matrix models of 2d gravity and Toda theory”, Nucl.Phys. B357 (1991) 565-618.
  112. А. Marshakov, A. Mironov, “On two approaches to conformal field theories: conformal bootstrap & free field representation”, in Proceedings of the XXV Winter School on High Energy Physics, Leningrad 1990.
  113. A. Gerasimov, А. Marshakov, A. Morozov, “On 2d gravity in the formalism of conformal field theory”, Lebedev Inst. preprint, 1990; Phys.Lett. B242 (1990) 345-353.
  114. А. Marshakov, A. Morozov, “N = 2 Ginzburg-Landau models as conventional conformal theories”, Yad. Fiz (J. of Nucl. Phys.) (1991).
  115. А. Marshakov, A. Morozov, “Landau-Ginsburg models with N = 2 supersymmetry as conventional conformal theories”, Phys.Lett. B235 (1990) 97-105.
  116. А. Marshakov, “A comment on two-dimensional gravity”, in Proceedings of the XXIII International Simposium on the Theory of Elementary Particle (Ahrenshoop, October 9-13, 1989), ed. H.J.Kaiser, PHE 89-13, pp 309-315.
  117. А. Marshakov, A. Morozov, “On the question of W3 algebra”, JETP 97 (1990) 721-732.
  118. А. Marshakov, A. Morozov, “A note on W3 algebra”, Nucl.Phys. B339 (1990) 79-94.
  119. A. Gerasimov, А. Marshakov, A. Morozov, “Hamiltonian reduction of the Wess-Zumino-Witten theory from bosonization viewpoint”, Yad. Fiz. (Sov. J. of Nucl. Phys.) 51 (1990) 583-586.
  120. A. Gerasimov, А. Marshakov, A. Morozov, “Hamiltonian reduction of the Wess-Zumino-Witten theory from the point of view of bosonization”, Phys. Lett. B236 (1990) 269-272.
  121. A. Belavin, A. Klimyk, А. Marshakov, A. Zamolodchikov, “Bosonization of Wess-Zumino-Witten model and related conformal theories”, in Problems of modern quantum field theory (eds.), Springer-Verlag, 1989.
  122. А. А. Герасимов, А. В. Маршаков, А. Ю. Морозов, “Представление свободных полей для парафермионов и других косет-моделей”, ТМФ, 83:2 (1990), 186–196; Theoret. and Math. Phys., 83:2 (1990), 466–473
  123. A. Gerasimov, А. Marshakov, A. Morozov, “Free field representation of parafermions and related coset models”, Nucl. Phys. B328 (1990) 664-676.
  124. A. Gerasimov, А. Marshakov, A. Morozov, M. Olshanetsky, S. Shatashvili, “Wess-Zumino-Witten model as a theory of free fields”, Int. J. Mod. Phys. A5 (1990) 2495-2589.
  125. А. V. Marshakov, “The Dotsenko-Fateev representation for Wess-Zumino-Witten models”, Phys. Lett. B224 (1989) 141-144.
  126. А. V. Marshakov, “Bosonization and the calculation of the correlators in Wess-Zumino-Witten model”, JETP Lett. 49 (1989) 419-423).
  127. А. V. Marshakov, A. V. Zabrodin, “New p-adic string amplitudes”, Mod. Phys. Lett. A5 (1990) 265-274.
  128. А. V. Marshakov, A. V. Zabrodin, “New amplitudes of p-adic string”, Yad. Phys. (Sov. J. of Nucl. Phys.) 51 (1990) 286-292.
  129. А. V. Marshakov, “Green functions and causality in string theory”, in ’Modern Group Analysis: Methods and applications’, Baku (1989).
  130. А. V. Marshakov, “Effective boundary action in the fermionic string theory”, Mod.Phys.Lett. A4 (1990) 2041-2047.
  131. V. Ya. Fainberg, А. V. Marshakov, “The propagators of a Dirac particle and fermionic strings”, Proceedings of Lebedev Physical Institute, 201 (1990) 139-179.
  132. А. V. Marshakov, The path integral representation of the fermionic string propagator, Nucl.Phys. B312 (1989) 178-196.
  133. V. Ya. Fainberg, А. V. Marshakov, “A propagator for the fermionic string”, Phys. Lett. B211 (1988) 81-85.
  134. V. Ya. Fainberg, А. V. Marshakov, “Representation of a Dirac particle in an external gravitational field as a sum over paths”, JETP Letters 47 (1988) 565-568.
  135. V. Ya. Fainberg, А. V. Marshakov, “Local supersymmetry and Dirac particle propagator in the external nonabelian field as a sum over paths, Lebedev Inst. Reports N3 (1988).
  136. V. Ya. Fainberg, А. V. Marshakov, “Local supersymmetry and Dirac particle propagator as a path integral. Massive particle and particle in the external Yang-Mills field, Lebedev Inst. prepr. N62 (1988).
  137. V. Ya. Fainberg, А. V. Marshakov, “Local supersymmetry and Dirac particle propagator as a path integral”, Nucl. Phys. B306 (1988) 659-676.
  138. V. Ya. Fainberg, А. V. Marshakov, “Representation of a Dirac particle as a sum over paths”, JETP Letters 46 (1988) 319-322.
  139. А. V. Marshakov, “Some properties of O(2) string theory”, Lebedev Inst. prepr. N176 (1987).
  140. А. V. Marshakov, “One-loop path integral in the O(2) string theory”, Lebedev Inst. Reports N8 (1987).