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100 _a20190430a2019 k y0engy50 ba
101 0 _aeng
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181 0 _ai
182 0 _ab
200 1 _aSpinning extensions of D(2, 1; α) superconformal mechanics
_fA. V. Galajinsky, O. Lechtenfeld
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 14 tit.]
330 _aAs is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup D(2, 1; α), which is the most general NN = 4 supersymmetric extension of the conformal group in one spatial dimension. We construct novel spinning extensions of D(2, 1; α) superconformal mechanics by adjusting the SU(2) generators associated with the relativistic spinning particle coupled to a spherically symmetric Einstein-Maxwell background. The angular sector of the full superconformal system corresponds to the orbital motion of a particle coupled to a symmetric Euler top, which represents the spin degrees of freedom. This particle moves either on the two-sphere, optionally in the external field of a Dirac monopole, or in the SU(2) group manifold. Each case is proven to be superintegrable, and explicit solutions are given.
461 _tJournal of High Energy Physics
463 _tVol. 2019, iss. 3
_v[69, 15 p.]
_d2019
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _aextended supersymmetry
610 1 _aintegrable field
610 1 _atheories classical theories of gravity
610 1 _aconformal and w symmetry
610 1 _aсуперсимметрии
610 1 _aинтегрируемые поля
610 1 _aгравитационная теория
700 1 _aGalajinsky
_bA. V.
_cDoctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT)
_cProfessor of the TPU
_f1971-
_gAnton Vladimirovich
_2stltpush
_3(RuTPU)RU\TPU\pers\27878
701 1 _aLechtenfeld
_bO.
_gOlef
712 0 2 _aНациональный исследовательский Томский политехнический университет
_bИсследовательская школа физики высокоэнергетических процессов
_c(2017- )
_h8118
_2stltpush
_3(RuTPU)RU\TPU\col\23551
801 2 _aRU
_b63413507
_c20200117
_gRCR
856 4 _uhttp://earchive.tpu.ru/handle/11683/57335
856 4 _uhttps://doi.org/10.1007/JHEP03(2019)069
942 _cCF