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Information × Registration Number 0210U006054, 0108U005271 , R & D reports Title Supersymmetry in gauge theories, higher spin and string theory popup.stage_title Head Bandos Igor Anatolievich, Registration Date 05-05-2010 Organization National Science Center "Kharkiv Institute of Physics and Technology popup.description2 Within the superembedding approach it is proposed the description of multiple D0-branes. In flat D=10 IIA superspace it is obtained manifestly supersymmetric and Lorentz covariant equations describing the dynamics of such a system. It is established the relation of the considered model to the so-called Matrix Model which describes non-perturbative degrees of freedom of M-theory. In the curved background of fields of D=10 type IIA supergravity it is demonstrated the effect of "polarization" of the system of multiple D0-branes in background fields of higher forms, relating to the presence of a non-trivial interaction of N coincident D0-branes with the gauge field of a N-form. In framework of the superembedding approach it is studied a possibility to describe exotic Q7-branes of type IIB superstring theory. By use of minimal and quite natural assumptions it was demonstrated impossibility of the consistent description of Q7-branes dynamics within the superembedding approach. The obtained results are important from the point of view of further development of a sufficiently general superembedding approach and searching for its modifications which allow to construct of dynamics of non-standard supersymmetric extended objects. It is constructed the action functional of a closed Green-Schwarz supersymmetric string model in D=5 tensorial superspace. Gauge symmetries of the model were studied and the explicit form of the local fermionic symmetry transformations was obtained. With the help of special Fierz identities for D=5 spinors it was proved the invariance of the proposed action functional under the supersymmetry transformations. It was found constraints on background fields of the flat D=5 tensorial superspace, induced by the requirement of the Lagrangean invariance. On the ground of N=4 SUSY QM it was proposed a method of constructing new exactly-solvable models of stochastic dissipative systems. A feature of the proposed approach consists in the fact that the probability densities and the obtained new potentials which enter the Langevin equation possess a parametric freedom, the presence of which allows to change their form without changing the temporary behavior of the distribution function. Product Description popup.authors Івашин С.А. Івашкевич Г.І. Березовий В.П. Болотін Ю.Л. Гершун В.Д. Нурмагамбетов О.Ю. Сорока В.О. popup.nrat_date 2020-04-02 Close