INSTITUTE FOR THEORETICAL AND MATHEMATICAL PHYSICS

Lomonosov Moscow State University

Scientific Members

Maxim Grigoriev

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.

Selected publications:

M. Grigoriev and E.D. Skvortsov, «Type-B Formal Higher Spin Gravity,»  JHEP 1805, 138 (2018)   [arXiv:1804.03196 [hep-th]].

K. B. Alkalaev and M. Grigoriev, «Frame-like Lagrangians and presymplectic AKSZ-type sigma models,» Int. J. Mod. Phys. A 29 (2014) no.18, 1450103 [arXiv:1312.5296 [hep-th]].

X. Bekaert and M. Grigoriev, «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]].

M. Grigoriev, «Parent formulation at the Lagrangian level,» JHEP 1107 (2011) 061 [arXiv:1012.1903 [hep-th]].

G. Barnich and M. Grigoriev, «First order parent formulation for generic gauge field theories,» JHEP 1101 (2011) 122 [arXiv:1009.0190 [hep-th]].

M. Grigoriev and A. A. Tseytlin, «Pohlmeyer reduction of AdS(5) x S**5 super-string sigma model,» Nucl. Phys. B 800 (2008) 450 [arXiv:0711.0155 [hep-th]].

G. Barnich, M. Grigoriev, A. Semikhatov and I. Tipunin, «Parent field theory and unfolding in BRST first-quantized terms,» Commun. Math. Phys. 260 (2005) 147 [hep-th/0406192].

G. Barnich, M.A. Grigoriev and M. Henneaux, «Seiberg-Witten maps from the point of view of consistent deformations of gauge theories,» JHEP 0110 (2001) 004 [hep-th/0106188].

M.A. Grigoriev and S.L. Lyakhovich, «Fedosov deformation quantization as a BRST theory,» Commun. Math. Phys. 218 (2001) 437 [hep-th/0003114].

M.A. Grigoriev and P.H. Damgaard, «Superfield BRST charge and the master action,» Phys. Lett. B 474 (2000) 323 [hep-th/9911092].

All publications

 

Dmitry Levkov

Dr. Levkov is a research fellow of ITMP and Institute for Nuclear Research RAS. His scientific interests are shared between cosmology of ultra-light dark matter, black hole physics, instantons and semiclassical description of nonperturbative transitions in quantum field theory. He and his collaborators for the first time computed the probability of baryon number violation in electroweak particle collisions at colliders, were first to describe kinetic Bose-Einstein condensation of light dark matter due to gravitational interactions.

Selected  publications:

D.G. Levkov, A.G. Panin, I.I. Tkachev «Gravitational Bose-Einstein condensation in the kinetic regime,» Phys. Rev. Lett. 121 (2018) 151301 [arXiv:1804.05857]

D.G. Levkov, A.G. Panin, I.I. Tkachev «Relativistic axions from collapsing Bose stars,» Phys. Rev. Lett. 118 (2017) 011301 [arXiv:1609.03611]

Maxim Fitkevich, Dmitry Levkov, Yegor Zenkevich «Exact solutions and critical chaos in dilaton gravity with a boundary,» JHEP 1704 (2017) 108 [arXiv:1702.02576]

Fedor Bezrukov, Dmitry Levkov, Sergey Sibiryakov, «Semiclassical S-matrix for black holes,» JHEP 1512 (2015) 002 [arXiv:1503.07181]

S.V. Demidov, D.G. Levkov, «Soliton-antisoliton pair production in particle collisions,» Phys. Rev. Lett. 107 (2011) 071601 [arXiv:1103.0013]

D.G. Levkov, A.G. Panin, S.M. Sibiryakov, «Unstable Semiclassical Trajectories in Tunneling,» Phys. Rev. Lett. 99 (2007) 170407 [arXiv:0707.0433]

F.L. Bezrukov, D. Levkov, C. Rebbi, V.A. Rubakov, P. Tinyakov, «Semiclassical study of baryon and lepton number violation in high-energy electroweak collisions,» Phys.Rev. D 68 (2003) 036005 [hep-ph/0304180]

All publications