Details
| Original language | English |
|---|---|
| Article number | 69 |
| Journal | Journal of high energy physics |
| Volume | 2019 |
| Issue number | 3 |
| Early online date | 13 Mar 2019 |
| Publication status | Published - Mar 2019 |
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 N = 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.
Keywords
- Classical Theories of Gravity, Conformal and W Symmetry, Extended Supersymmetry, Integrable Field Theories
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2019, No. 3, 69, 03.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Spinning extensions of D(2, 1; α) superconformal mechanics
AU - Galajinsky, Anton
AU - Lechtenfeld, Olaf
N1 - Funding Information: A.G. is grateful to the Institut für Theoretische Physik at Leibniz Universität Hannover for the hospitality extended to him at the initial stage of this project. This work was supported by the Tomsk Polytechnic University competitiveness enhancement program.
PY - 2019/3
Y1 - 2019/3
N2 - 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 N = 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.
AB - 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 N = 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.
KW - Classical Theories of Gravity
KW - Conformal and W Symmetry
KW - Extended Supersymmetry
KW - Integrable Field Theories
UR - http://www.scopus.com/inward/record.url?scp=85063051622&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1902.06851
DO - 10.48550/arXiv.1902.06851
M3 - Article
AN - SCOPUS:85063051622
VL - 2019
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 3
M1 - 69
ER -