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.
| Original language | English |
|---|---|
| Article number | 69 |
| Journal | Journal of High Energy Physics |
| Volume | 2019 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2019 |
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Keywords
- Classical Theories of Gravity
- Conformal and W Symmetry
- Extended Supersymmetry
- Integrable Field Theories
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Spinning extensions of D(2, 1; α) superconformal mechanics. / Galajinsky, Anton; Lechtenfeld, Olaf.
In: Journal of High Energy Physics, Vol. 2019, No. 3, 69, 01.03.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spinning extensions of D(2, 1; α) superconformal mechanics
AU - Galajinsky, Anton
AU - Lechtenfeld, Olaf
PY - 2019/3/1
Y1 - 2019/3/1
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
UR - http://www.scopus.com/inward/citedby.url?scp=85063051622&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2019)069
DO - 10.1007/JHEP03(2019)069
M3 - Article
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 3
M1 - 69
ER -