Hyper-Kaehler geometry and dualization

Abstract

We demonstrate that in N=8 supersymmetric mechanics with linear and nonlinear chiral supermultiplets one may dualize two auxiliary fields into physical ones in such a way that the bosonic manifold will be a hyper-Kaehler one. The key point of our construction is about different dualizations of the two auxiliary components. One of them is turned into a physical one in the standard way through its replacement by the total time derivative of some physical field. The other auxiliary field is dualized through a Lagrange multiplier. We clarify this choice of dualization by presenting the analogy with a three-dimensional case.

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

References in corpus (1)

• 2k-dimensional N=8 supersymmetric quantum mechanics

Cited by in corpus (9)

• Hierarchy of N=8 Mechanics Models
• Geometry of N=4, d=1 nonlinear supermultiplet
• Superfield Formulation of Nonlinear N=4 Supermultiplets
• Nonlinear (4, 8, 4) Multiplet of N=8, d=1 Supersymmetry
• A new N = 8 nonlinear supermultiplet
• Generic N=4 supersymmetric hyper-Kähler sigma models in D=1
• N=8 supersymmetric mechanics on the sphere S^3
• N=4, d=3 nonlinear electrodynamics
• Universal Superfield Action for $N=8\to N=4$ Partial Breaking of Global Supersymmetry in D=1