Generic N=4 supersymmetric hyper-Kähler sigma models in D=1

dc.creatorBellucci, S.
dc.creatorKrivonos, S.
dc.creatorShcherbakov, A.
dc.date2006-11-24
dc.date.accessioned2026-07-07T11:23:14Z
dc.date.available2026-07-07T11:23:14Z
dc.descriptionWe analyse the geometry of four-dimensional bosonic manifolds arising within the context of $N=4, D=1$ supersymmetry. We demonstrate that both cases of general hyper-Kähler manifolds, i.e. those with translation or rotational isometries, may be supersymmetrized in the same way. We start from a generic N=4 supersymmetric three-dimensional action and perform dualization of the coupling constant, initially present in the action. As a result, we end up with explicit component actions for $N=4, D=1$ nonlinear sigma-models with hyper-Kähler geometry (with both types of isometries) in the target space. In the case of hyper-Kähler geometry with translational isometry we find that the action possesses an additional hidden N=4 supersymmetry, and therefore it is N=8 supersymmetric one.
dc.description8 pages, PACS: 11.30.Pb, 03.65.-w
dc.identifierhttps://arxiv.org/abs/hep-th/0611248
dc.identifierhttp://arxiv.org/abs/hep-th/0611248
dc.identifierPhys.Lett.B645:299-302,2007
dc.identifierdoi:10.1016/j.physletb.2006.12.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194827
dc.subjectHigh Energy Physics - Theory
dc.titleGeneric N=4 supersymmetric hyper-Kähler sigma models in D=1
dc.typetext

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