INSTITUTE FOR THEORETICAL AND MATHEMATICAL PHYSICS

Lomonosov Moscow State University

...

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:

  1. Grigoriev, M.; Skvortsov, E.D. «Type-B Formal Higher Spin Gravity». JHEP 1805, 138 (2018). arXiv: 1804.03196 [hep-th].
  2. 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].
  3. 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].
  4. Grigoriev, M., «Parent formulation at the Lagrangian level». JHEP 1107 (2011) 061. arXiv: 1012.1903 [hep-th].
  5. Barnich, G.; Grigoriev, M. «First order parent formulation for generic gauge field theories». JHEP 1101 (2011) 122. arXiv: 1009.0190 [hep-th].
  6. 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].
  7. 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].
  8. 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].
  9. Grigoriev, M.; Lyakhovich, S.L. «Fedosov deformation quantization as a BRST theory». Commun. Math. Phys. 218 (2001) 437 [hep-th/0003114].
  10. 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:

  1. 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.
  2. 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.
  3. Grigoriev, M.; Kotov, A. (2020). "Presymplectic AKSZ formulation of Einstein gravity". arXiv: 2008.11690 [hep-th].
  4. 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.
  5. 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.
  6. Grigoriev, M.; Meyer, A.; Sachs, I. (2021). "A toy model for background independent string field theory". arXiv: 2106.07966 [hep-th].
  7. 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.

All publications

physics and mathematics