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Information × Registration Number 0210U006053, 0108U005271 , R & D reports Title Supersymmetry in gauge theories, higher spin and string theories popup.stage_title Head Bandos Igor Anatolievich, Registration Date 05-05-2010 Organization National Science Center "Kharkiv Institute of Physics and Technology popup.description2 It was proposed and developed a general formalism of constructing gauge theories in D-dimensional Minkowski space with the infinite-dimensional gauge group of diffeomorphisms SDiffn, which preserve the volume of a closed n-dimensional manifold. One of the most interesting particular cases to which the proposed technique is applied is the special case of D=3 superconformal SDiff3 gauge theory with maximal N=8 supersymmetry, since such a theory is a realization of the BLG model in terms of the Nambu brackets, which describes a condensate of the coincident planar M2-branes. The complete Lagrangian describing the problem as well as the supersymmetry transformations were obtained in maximally simplest form. On the ground of N=4 SUSY QM it was proposed the method of constructing new exactly-solvable models of stochastic dissipative systems. A characteristic feature of the obtained models consists in the presence of a parametric freedom that allows to essentially change the form of potentials of the Langevin equation. Taking the Ornstein-Uhlenbeck process as an example the efficiency of the proposed method was demonstrated. Product Description popup.authors Івашкевич Гліб Ігоревич Березовий Віктор Пантелеймонович Болотін Юрій Львович Гершун Віктор Дмитрович Нурмагамбетов Олексій Юр'євич Сорока Вячеслав Олександрович popup.nrat_date 2020-04-02 Close