Geometry of N=4, d=1 nonlinear supermultiplet

dc.creatorBellucci, S.
dc.creatorKrivonos, S.
dc.date2006-11-09
dc.date.accessioned2026-07-07T11:23:03Z
dc.date.available2026-07-07T11:23:03Z
dc.descriptionWe construct the general action for $N=4, d=1$ nonlinear supermultiplet including the most general interaction terms which depend on the arbitrary function $h$ obeying the Laplace equation on $S^3$. We find the bosonic field $B$ which depends on the components of nonlinear supermultiplet and transforms as a full time derivative under N=4 supersymmetry. The most general interaction is generated just by a Fayet-Iliopoulos term built from this auxiliary component. Being transformed through a full time derivative under $N=4, d=1$ supersymmetry, this auxiliary component $B$ may be dualized into a fourth scalar field giving rise to a four dimensional $N=4, d=1$ sigma-model. We analyzed the geometry in the bosonic sector and find that it is not a hyper-Kähler one. With a particular choice of the target space metric $g$ the geometry in the bosonic sector coincides with the one which appears in heterotic $(4,0)$ sigma-model in $d=2$.
dc.description9 pages, LaTeX file, PACS: 11.30.Pb, 03.65.-w
dc.identifierhttps://arxiv.org/abs/hep-th/0611104
dc.identifierhttp://arxiv.org/abs/hep-th/0611104
dc.identifierPhys.Rev.D74:125024,2006
dc.identifierdoi:10.1103/PhysRevD.74.125024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194773
dc.subjectHigh Energy Physics - Theory
dc.titleGeometry of N=4, d=1 nonlinear supermultiplet
dc.typetext

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