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Information × Registration Number 0211U013126, 0111U006446 , R & D reports Title Supersymmetric field theory models, superstrings and higher spins popup.stage_title Head Bolotin Yuri L'vovich, Registration Date 26-12-2011 Organization Institute for Theoretical Physics of National Science Center "Kharkov Institute of Physics and Technology" popup.description2 It was proposed a new method of studies of integrable field theory models in Riemann-Cartan space of string coordinates with a constant torsion, as well as new integrable equations of motion for invariant symmetric chiral currents. Only the primitive invariant currents of SU(2), SO(3), Sp(2) and SU(3) groups form the closed system of equations. For such groups equations of motion are the Burgers equations without viscosity. Solutions to Burgers equations with the invariant current are expressed through the Lambert function. Equations of motion of the second invariant current on the shell of the first one are linear inhomogeneous equations. Also, it was obtained equations of motion of the primary chiral current. It was proposed an algorithmic procedure of constructing the dynamics of system of coincident M2-branes from the action of single M5 brane. M5 worldvolume fields are expanded over the S2 sphere harmonics, and are further associated with SU(N) gauge algebra. We present the reduction procedure that leads to the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory after replacing spherical harmonics with SU(N) algebra generators. It was considered cosmological models based on Holographic principle, with the help of which it is possible to obtain the dynamics of the Universe. We demonstrated that such models possess a complicated, non-monotonical dynamics, that, in its turn, makes possible to explain a new class of cosmological observations. Product Description popup.authors Єрохін Д.А. Березовий В.П. Гершун В.Д. Лемець О.А. Нурмагамбетов О.Ю. popup.nrat_date 2020-04-02 Close