Maxim Grigoriev
PhD
Research interests
Scientific interests of Maxim Grigoriev involve mathematical foundations of gauge systems (constrained dynamics and symmetries, Batalin-Vilkovisky quantization) higher-spin gauge theories and holography, superstring sigma models and noncommutative theories. He proposed the so-called parent formulation of general gauge theories which systematically unifies Batalin-Vilkovisky and Hamiltonian BRST approaches into a unique formalism which has the structure of (generalized) Alexandrov-Kontsevich-Schwartz-Zaboronsky (AKSZ) sigma-model, which is especially useful in the context of diffeomorphism-invariant theories and higher spin holography.
Publications
Teaching
Selected publications:
- Grigoriev, M.; Skvortsov, E.D. «Type-B Formal Higher Spin Gravity». JHEP 1805, 138 (2018). arXiv: 1804.03196 [hep-th].
- Alkalaev, K. B.; Grigoriev, M. «Frame-like Lagrangians and presymplectic AKSZ-type sigma models». Int. J. Mod. Phys. A 29 (2014) no.18, 1450103. arXiv: 1312.5296 [hep-th].
- Bekaert, X.; Grigoriev, M. «Higher order singletons, partially massless fields and their boundary values in the ambient approach». Nucl. Phys. B 876 (2013) 667. arXiv: 1305.0162 [hep-th].
- Grigoriev, M., «Parent formulation at the Lagrangian level». JHEP 1107 (2011) 061. arXiv: 1012.1903 [hep-th].
- Barnich, G.; Grigoriev, M. «First order parent formulation for generic gauge field theories». JHEP 1101 (2011) 122. arXiv: 1009.0190 [hep-th].
- Grigoriev, M.; Tseytlin, A. A. «Pohlmeyer reduction of AdS(5) x S**5 super-string sigma model». Nucl. Phys. B 800 (2008) 450. arXiv: 0711.0155 [hep-th].
- Barnich, G.; Grigoriev, M.; Semikhatov, A.; Tipunin, I. «Parent field theory and unfolding in BRST first-quantized terms». Commun. Math. Phys. 260 (2005) 147 [hep-th/0406192].
- Barnich, G.; Grigoriev, M.; Henneaux, M. «Seiberg-Witten maps from the point of view of consistent deformations of gauge theories». JHEP 0110 (2001) 004 [hep-th/0106188].
- Grigoriev, M.; Lyakhovich, S.L. «Fedosov deformation quantization as a BRST theory». Commun. Math. Phys. 218 (2001) 437 [hep-th/0003114].
- Grigoriev, M.; Damgaard, P.H. «Superfield BRST charge and the master action». Phys. Lett. B 474 (2000) 323 [hep-th/9911092].
Publications affiliated with ITMP:
- Grigoriev, M.; Rudinsky, D. (2024). "Weak gauge PDEs". arXiv: 2408.08287 [hep-th].
- Dneprov, I.; Grigoriev, M.; Gritzaenko, V. (2024). "Presymplectic minimal models of local gauge theories". arXiv: 2402.03240 [hep-th].
- Grigoriev, M.; Markov, M. (2023). "Asymptotic symmetries of gravity in the gauge PDE approach". arXiv: 2310.09637 [math-ph].
- Grigoriev, M.; Rudinsky, D. (2023). "Notes on the $L_\infty$-approach to local gauge field theories". Journal of Geometry and Physics. 190 (2023) 104863. arXiv: 2303.08990 [hep-th]. doi: 10.1016/j.geomphys.2023.104863.
- Dneprov, I., Grigoriev, M. (2022). "Presymplectic BV-AKSZ formulation of Conformal Gravity". The European Physical Journal C. 83 (2023) 6. arXiv: 2208.02933 [hep-th]. doi: 10.1140/epjc/s10052-022-11082-6.
- Basile, T.; Grigoriev, M.; Skvortsov, E. (2022). "Covariant action for conformal higher spin gravity". Journal of Physics A. 56 (2023) 38, 385402. arXiv: 2212.10336 [hep-th]. doi: 10.1088/1751-8121/aceeca.
- Grigoriev, M. (2022). "Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles". arXiv: 2212.11350 [math-ph].
- Grigoriev, M.; Meyer, A.; Sachs, I. (2021). "A toy model for background independent string field theory". Journal of High Energy Physics .05 (2022) 020. arXiv: 2106.07966 [hep-th]. doi: 10.1007/JHEP05(2022)020.
- Grigoriev, M.; Gritzaenko, V. (2021). "Presymplectic structures and intrinsic Lagrangians for massive fields". Nuclear Physics B. 975 (2022) 115686. arXiv: 2109.05596 [hep-th]. doi: 10.1016/j.nuclphysb.2022.115686.
- Chekmenev, A.; Grigoriev, M. (2020). "Conformal Lagrangians from the (formal) near boundary analysis of AdS gauge fields". Nuclear Physics B. 967 (2021) 115403. arXiv: 2005.06433 [hep-th]. doi: 10.1016/j.nuclphysb.2021.115403.
- Grigoriev, M.; Mkrtchyan, K.; Skvortsov, E. (2020). "On matter-free Higher Spin Gravities in 3D: (partially)-massless fields and general structure". Physical Review D. 102 (2020) 066003. arXiv: 2005.05931 [hep-th]. doi: 10.1103/PhysRevD.102.066003.
- Grigoriev, M.; Kotov, A. (2020). "Presymplectic AKSZ formulation of Einstein gravity". Journal of High Energy Physics. 181 (2020). arXiv: 2008.11690 [hep-th]. doi: 10.1007/JHEP09(2021)181.
- Grigoriev, M.; Lovrekovic, I.; Skvortsov, E. (2019). "New conformal higher spin gravities in 3d". Journal of High Energy Physics. 2001 (2020) 059. arXiv:1909.13305 [hep-th]. doi: 10.1007/JHEP01(2020)059.
- Grigoriev, M.; Kotov, A. (2019). "Gauge PDE and AKSZ‐type Sigma Models". Fortschitte der Physik. 67 (2019), 8-9, 1910007. arXiv:1903.02820 [hep-th]. doi:10.1002/prop.201910007.
physics and mathematics
