Spinning extensions of D(2, 1; α) superconformal mechanics
Электронный архив ТПУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Spinning extensions of D(2, 1; α) superconformal mechanics
|
|
| Автор |
Galajinsky, Anton Vladimirovich
Lechtenfeld, Olef |
|
| Тематика |
extended supersymmetry
integrable field theories classical theories of gravity conformal and w symmetry суперсимметрии интегрируемые поля гравитационная теория |
|
| Описание |
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.
|
|
| Дата |
2020-01-17T05:43:26Z
2020-01-17T05:43:26Z 2019 |
|
| Тип |
Article
Published version (info:eu-repo/semantics/publishedVersion) Journal article (info:eu-repo/semantics/article) |
|
| Идентификатор |
Galajinsky A. V. Spinning extensions of D(2, 1; α) superconformal mechanics / A. V. Galajinsky, O. Lechtenfeld // Journal of High Energy Physics. — 2019. — Vol. 2019, iss. 3. — [69, 15 p.].
http://earchive.tpu.ru/handle/11683/57335 10.1007/JHEP03(2019)069 |
|
| Язык |
en
|
|
| Права |
Open access (info:eu-repo/semantics/openAccess)
|
|
| Формат |
application/pdf
|
|
| Издатель |
Томский политехнический университет
|
|
| Источник |
Journal of High Energy Physics
|
|