Geometry of N=4, d=1 nonlinear supermultiplet

Abstract

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-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 $d=2$.

arXiv comment9 pages, LaTeX file, PACS: 11.30.Pb, 03.65.-w

References in corpus (13)

• HKT and OKT Geometries on Soliton Black Hole Moduli Spaces
• N=4 Supersymmetric Mechanics in Harmonic Superspace
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• Gauging N=4 Supersymmetric Mechanics
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
• Kähler geometry and SUSY mechanics
• ELLIPTIC MONOPOLES AND (4,0)-SUPERSYMMETRIC SIGMA MODELS WITH TORSION
• Local heterotic geometry in holomorphic coordinates
• N=4, d=1 tensor multiplet and hyper-Kahler sigma-models
• Hyper-Kaehler geometry and dualization
• A surprise in mechanics with nonlinear chiral supermultiplet
• Hyper-Kahler geometries and nonlinear supermultiplets

Cited by in corpus (9)

• N=4 Supersymmetric MICZ-Kepler systems on S3
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• Multi-center MICZ-Kepler systems
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Generic N=4 supersymmetric hyper-Kähler sigma models in D=1
• $\mathcal{N}=4$ Supersymmetric $d=1$ Sigma Models on Group Manifolds
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• N=8 supersymmetric mechanics on the sphere S^3