Spinning extensions of D(2, 1; α) superconformal mechanics; Journal of High Energy Physics; Vol. 2019, iss. 3

Spinning extensions of D(2, 1; α) superconformal mechanics; Journal of High Energy Physics; Vol. 2019, iss. 3

Detalhes bibliográficos
Parent link:Journal of High Energy Physics
Vol. 2019, iss. 3.— 2019.— [69, 15 p.]
Autor principal: Galajinsky A. V. Anton Vladimirovich
Autor Corporativo: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Outros Autores: Lechtenfeld O. Olef
Resumo: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.
Idioma:inglês
Publicado em: 2019
Assuntos:
электронный ресурс
труды учёных ТПУ
extended supersymmetry
integrable field
theories classical theories of gravity
conformal and w symmetry
суперсимметрии
интегрируемые поля
гравитационная теория
Acesso em linha:http://earchive.tpu.ru/handle/11683/57335
https://doi.org/10.1007/JHEP03(2019)069
Formato: Recurso Electrónico Capítulo de Livro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=660166

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