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 (20)

• HKT and OKT Geometries on Soliton Black Hole Moduli Spaces
• N=4 Supersymmetric Mechanics in Harmonic Superspace
• The Geometry of (Super) Conformal Quantum Mechanics
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• Superconformal Multi-Black Hole Quantum Mechanics
• ABC of N=8, d=1 supermultiplets
• The Geometry of Supersymmetric Quantum Mechanics
• Conformal and Superconformal Mechanics
• N=4 Supersymmetric Multidimensional Quantum Mechanics, Partial SUSY Breaking and Superconformal Quantum Mechanics
• N=8 superconformal mechanics
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• N=8 supersymmetric mechanics on special Kähler manifolds
• Kähler geometry and SUSY mechanics
• N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
• Symplectic sigma models in superspace
• Two-dimensional N=8 supersymmetric mechanics in superspace
• N=8 Supersymmetric Quaternionic Mechanics
• N=4 supersymmetric Eguchi-Hanson sigma model in d=1
• N=8 Nonlinear Supersymmetric Mechanics
• 2k-dimensional N=8 supersymmetric quantum mechanics

Cited by in corpus (10)

• Hierarchy of N=8 Mechanics Models
• Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole
• 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