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Information × Registration Number 0213U005951, 0111U009549 , R & D reports Title The development of methods of statistical physics and quantum field theory for the study of problems of condensed and gaseous media and field dynamics and supersymmetric elongated objects popup.stage_title Head Slyusarenko Yuri Viktorovych, Доктор фізико-математичних наук Registration Date 16-09-2013 Organization National Science Center "Kharkiv Institute of Physics and Technology popup.description2 1.1 The new class of compact membranes and p-branes, which have the form p-tori embedded in D = 2p +1 dimensional Minkowski space is studied. 1.2 It is proved that for p-tori of same radius the dynamic equations are integrable and their explicit solutions in terms of (hyper) elliptic functions areobtained. The solutions corresponding to shrinking p tori are studied in detail. 1.3 The expressions for the time of compression of toroidal p-branes as a function of p and their energy density are obtained. 1.4 The images are found in terms of the generators D = 3 N = 6 of the superconformal group and Cartan forms in the conformal basis for Lax connectivity of AdS4 * CP3 superstrings in the sector described by OSp (4 | 6) / (SO (1,3) * U (3) ) sigma model.1.5 We derive the transformation laws for the coordinates of OSp (4 | 6) / (SO (1,3) * U (3)), factor-manifold with respect to D = 3 N = 6 superconformal symmetry. The expressions for sheet densities of Noetherian currents arising from D = 3 N = 6 superconformal invariance of the Lagrangian OSp (4 | 6) / (SO (1,3) * U (3)) sigma model are obtained. Product Description popup.authors Іванченко Євген Олександрович Івашин Анатолій Петрович Водяницький Олександр Андрійович Гершун Віктор Дмитрович Желтухін Олександр Олександрович Ковалевський Михайло Юрійович Литвиненко Дмитро Михайлович Мариненко Олена Дмитрівна Мацкевич Валентина Тадеушівна Ніколаєнко Сергій Олександрович Пелетминский Олександр Сергійович Пелетминський Сергій Володимирович Слюсаренко Юрій Вікторович Сорока В'ячеслав Олександрович Сотніков Андрій Генадійович Тарасов Олександр Миколайович Уваров Дмитро В'ячеславович Шульга Сергій Миколайович popup.nrat_date 2020-04-02 Close