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

Abstract

We 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.

8 pages, PACS: 11.30.Pb, 03.65.-w

References in corpus (4)

• Hidden symmetry of hyperbolic monopole motion
• Multi-center MICZ-Kepler system, supersymmetry and integrability
• Geometry of N=4, d=1 nonlinear supermultiplet
• Hyper-Kahler geometries and nonlinear supermultiplets

Cited by in corpus (1)

• N=8 supersymmetric mechanics on the sphere S^3