N=4 supersymmetric Eguchi-Hanson sigma model in d=1

Abstract

We show that it is possible to construct a supersymmetric mechanics with four supercharges possessing not conformally flat target space. A general idea of constructing such models is presented. A particular case with Eguchi--Hanson target space is investigated in details: we present the standard and quotient approaches to get the Eguchi--Hanson model, demonstrate their equivalence, give a full set of nonlinear constraints, study their properties and give an explicit expression for the target space metric.

arXiv commentLaTeX, 9 pages

References in corpus (15)

• HKT and OKT Geometries on Soliton Black Hole Moduli Spaces
• N=4 Supersymmetric Mechanics in Harmonic Superspace
• Superconformal mechanics, black holes, and non-linear realizations
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• New variant of N=4 superconformal mechanics
• Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions
• The Geometry of Supersymmetric Quantum Mechanics
• Conformal and Superconformal Mechanics
• N=4 Supersymmetric Multidimensional Quantum Mechanics, Partial SUSY Breaking and Superconformal Quantum Mechanics
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces
• N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
• Supersymmetric Quantum Mechanics from Light Cone Quantization
• Quaternionic metrics from harmonic superspace : lagrangian approach and quotient construction
• Kähler geometry and SUSY mechanics

Cited by in corpus (14)

• Gauging N=4 Supersymmetric Mechanics
• Hierarchy of N=8 Mechanics Models
• N = 4 mechanics of general (4, 4, 0) multiplets
• "Root" Action for N=4 Supersymmetric Mechanics Theories
• Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
• Multi-center MICZ-Kepler system, supersymmetry and integrability
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• Hyper-Kaehler geometry and dualization
• Nonlinear (4, 8, 4) Multiplet of N=8, d=1 Supersymmetry
• A new N = 8 nonlinear supermultiplet
• $\mathcal{N}=4$ Supersymmetric $d=1$ Sigma Models on Group Manifolds
• Manifolds with reduced holonomy in superstring theories
• Universal Superfield Action for $N=8\to N=4$ Partial Breaking of Global Supersymmetry in D=1