N=8 supersymmetric mechanics on the sphere S^3

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dc.creatorBellucci, S.
dc.creatorKrivonos, S.
dc.creatorSutulin, A.
dc.date2007-06-23
dc.date2007-07-30
dc.date.accessioned2026-07-07T10:56:22Z
dc.date.available2026-07-07T10:56:22Z
dc.descriptionStarting from quaternionic N=8 supersymmetric mechanics we perform a reduction over a bosonic radial variable, ending up with a nonlinear off-shell supermultiplet with three bosonic end eight fermionic physical degrees of freedom. The geometry of the bosonic sector of the most general sigma-model type action is described by an arbitrary function obeying the three dimensional Laplace equation on the sphere S^3. Among the bosonic components of this new supermultiplet there is a constant which gives rise to potential terms. After dualization of this constant one may come back to the supermultiplet with four physical bosons. However, this new supermultiplet is highly nonlinear. The geometry of the corresponding sigma-model action is briefly discussed.
dc.description9 pages, LaTeX file, PACS: 11.30.Pb, 03.65.-w
dc.identifierhttps://arxiv.org/abs/0706.3466
dc.identifierhttp://arxiv.org/abs/0706.3466
dc.identifierPhys.Rev.D76:065017,2007
dc.identifierdoi:10.1103/PhysRevD.76.065017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186391
dc.subjectHigh Energy Physics - Theory
dc.titleN=8 supersymmetric mechanics on the sphere S^3
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