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http://earchive.tpu.ru/handle/11683/57335
Title: | Spinning extensions of D(2, 1; α) superconformal mechanics |
Authors: | Galajinsky, Anton Vladimirovich Lechtenfeld, Olef |
Keywords: | extended supersymmetry; integrable field; theories classical theories of gravity; conformal and w symmetry; суперсимметрии; интегрируемые поля; гравитационная теория |
Issue Date: | 2019 |
Publisher: | Томский политехнический университет |
Citation: | 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.]. |
Abstract: | 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. |
URI: | http://earchive.tpu.ru/handle/11683/57335 |
Appears in Collections: | Репринты научных публикаций |
Files in This Item:
File | Description | Size | Format | |
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reprint-nw-29135.pdf | 331,05 kB | Adobe PDF | View/Open |
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