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Information × Registration Number 0214U008699, 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 13-08-2014 Organization National Science Center "Kharkiv Institute of Physics & Technology" popup.description2 A new supersymmetry semisimple expansion tensor of the Poincare algebra is built, which includes 4N generators of supersymmetry in the fundamental picture of the algebra so(N) internal symmetry. The expressions for the quadratic Casimir operators of the built superalgebra are obtained. It is shown that the operator of the squared mass is extended by adding the tensor generators, as well as by the generators of the internal symmetry and supersymmetry generators. It is shown that the proposed superalgebra has the structure of a direct sum of Lorentz algebra so(1,3) and orthosymplectic superalgebra osp(N|4). The gauge theory based on the deformed Maxwell algebra is proposed. It is shown that it tends to the theory of gravity with a cosmological constant and a twist, which is determined by the gauge field for antisymmtric tensor of generators of Maxwell algebra. 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 Тарасов Олександр Миколайович Уваров Дмитро В'ячеславович Шульга Сергій Миколайович popup.nrat_date 2020-04-02 Close