Geometry of N=4, d=1 nonlinear supermultiplet

Details Geometry of N=4, d=1 nonlinear supermultiplet Geometry of N=4, d=1 nonlinear supermultiplet

2006-11-09

arxiv.org/abs/hep-th/0611104v1

Phys.Rev.D74:125024,2006

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX file, PACS: 11.30.Pb, 03.65.-w

Scientific paper

10.1103/PhysRevD.74.125024

We 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-K\"ahler 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 $d=2$.

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