Spinning extensions of D(2, 1; α) superconformal mechanics; Journal of High Energy Physics; Vol. 2019, iss. 3
| Parent link: | Journal of High Energy Physics Vol. 2019, iss. 3.— 2019.— [69, 15 p.] |
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| Հիմնական հեղինակ: | |
| Համատեղ հեղինակ: | |
| Այլ հեղինակներ: | |
| Ամփոփում: | Title screen As 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. |
| Լեզու: | անգլերեն |
| Հրապարակվել է: |
2019
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| Խորագրեր: | |
| Առցանց հասանելիություն: | http://earchive.tpu.ru/handle/11683/57335 https://doi.org/10.1007/JHEP03(2019)069 |
| Ձևաչափ: | MixedMaterials Էլեկտրոնային Գրքի գլուխ |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=660166 |
MARC
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| 200 | 1 | |a Spinning extensions of D(2, 1; α) superconformal mechanics |f A. V. Galajinsky, O. Lechtenfeld | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 14 tit.] | ||
| 330 | |a As 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 | |t Journal of High Energy Physics | ||
| 463 | |t Vol. 2019, iss. 3 |v [69, 15 p.] |d 2019 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a extended supersymmetry | |
| 610 | 1 | |a integrable field | |
| 610 | 1 | |a theories classical theories of gravity | |
| 610 | 1 | |a conformal and w symmetry | |
| 610 | 1 | |a суперсимметрии | |
| 610 | 1 | |a интегрируемые поля | |
| 610 | 1 | |a гравитационная теория | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor 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) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 701 | 1 | |a Lechtenfeld |b O. |g Olef | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Исследовательская школа физики высокоэнергетических процессов |c (2017- ) |3 (RuTPU)RU\TPU\col\23551 |
| 801 | 2 | |a RU |b 63413507 |c 20200117 |g RCR | |
| 856 | 4 | |u http://earchive.tpu.ru/handle/11683/57335 | |
| 856 | 4 | |u https://doi.org/10.1007/JHEP03(2019)069 | |
| 942 | |c CF | ||