string theory,
integrable systems,
quantum field theory,
algebraic geometry.
Main publications:
Seiberg–Witten theory and integrable systems, World Scientific, 1999.
WDVV-like equations in N=2 SUSY Yang–Mills Theory (with A. Mironov and A. Morozov) // Phys. Lett. B, 389 (1996), 43–52.
Integrability and Seiberg–Witten exact solution (with A. Gorsky, I. Krichever, A. Mironov, and A. Morozov) // Phys. Lett. B, 355 (1995), 466–474.
Струны, суперсимметричные калибровочные теории и интегрируемые системы // Теор. и матем. физика, 121 (1999), 179–243.
Integrable Structure of the Dirichlet Boundary Problem in Two Dimensions (with P. Wiegmann and A. Zabrodin), hep-th/0109048; to appear in Commun. Math. Phys.
M. A. Bershtein, P. G. Gavrilenko, A. V. Marshakov, “Cluster Toda chains and Nekrasov functions”, TMF, 198:2 (2019), 179–214; Theoret. and Math. Phys., 198:2 (2019), 157–188
P. G. Gavrilenko, A. V. Marshakov, “Free fermions, $W$-algebras, and isomonodromic deformations”, TMF, 187:2 (2016), 232–262; Theoret. and Math. Phys., 187:2 (2016), 649–677
A. V. Marshakov, “Period integrals, quantum numbers, and confinement in SUSY QCD”, TMF, 165:3 (2010), 488–502; Theoret. and Math. Phys., 165:3 (2010), 1650–1661
A. V. Marshakov, A. D. Mironov, A. Yu. Morozov, “Combinatorial expansions of conformal blocks”, TMF, 164:1 (2010), 3–27; Theoret. and Math. Phys., 164:1 (2010), 831–852
A. V. Marshakov, “On the microscopic origin of integrability in the Seiberg–Witten
theory”, TMF, 154:3 (2008), 424–450; Theoret. and Math. Phys., 154:3 (2008), 362–384
L. O. Chekhov, A. V. Marshakov, A. D. Mironov, D. Vasiliev, “Complex Geometry of Matrix Models”, Trudy Mat. Inst. Steklova, 251 (2005), 265–306; Proc. Steklov Inst. Math., 251 (2005), 254–292
A. V. Marshakov, “Semiclassical geometry and integrability of the ads/cft correspondence”, TMF, 142:2 (2005), 265–283; Theoret. and Math. Phys., 142:2 (2005), 222–236
B. de Wit, A. V. Marshakov, “Electric-Magnetic Duality and WDVV Equations”, TMF, 129:2 (2001), 230–238; Theoret. and Math. Phys., 129:2 (2001), 1504–1510
A. S. Gorsky, A. V. Marshakov, A. Yu. Orlov, V. N. Rubtsov, “On third Poisson structure of KdV equation”, TMF, 103:3 (1995), 461–466; Theoret. and Math. Phys., 103:3 (1995), 701–705
S. M. Kharchev, A. V. Marshakov, A. D. Mironov, A. Yu. Morozov, “Landau–Ginzburg topological theories in the framework of GKM and equivalent hierarchies”, TMF, 95:2 (1993), 280–292; Theoret. and Math. Phys., 95:2 (1993), 571–582
A. A. Gerasimov, A. V. Marshakov, A. Yu. Morozov, “Free field representation of parafermions and related coset models”, TMF, 83:2 (1990), 186–196; Theoret. and Math. Phys., 83:2 (1990), 466–473
V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Uspekhi Mat. Nauk, 76:4(460) (2021), 183–193; Russian Math. Surveys, 76:4 (2021), 733–743
Cluster reductions and Painleve equations A. V. Marshakov International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 1, 2022 12:40