Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones

Abstract

Exploiting the gauging procedure developed by us in hep-th/0605211, we study the relationships between the models of N=4 mechanics based on the off-shell multiplets (4,4,0) and (1,4,3). We make use of the off-shell N=4, d=1 harmonic superspace approach as most adequate for treating this circle of problems. We show that the most general sigma-model type superfield action of the multiplet (1,4,3) can be obtained in a few non-equivalent ways from the (4,4,0) actions invariant under certain three-parameter symmetries, through gauging the latter by the appropriate non-propagating gauge multiplets. We discuss in detail the gauging of both the Pauli-Gursey SU(2) symmetry and the abelian three-generator shift symmetry. We reveal the (4,4,0) origin of the known mechanisms of generating potential terms for the multiplet (1,4,3), as well as of its superconformal properties. A new description of this multiplet in terms of unconstrained harmonic analytic gauge superfield is proposed. It suggests, in particular, a novel mechanism of generating the (1,4,3) potential terms via coupling to the fermionic off-shell N=4 multiplet (0,4,4).

arXiv comment27 pages

References in corpus (17)

• Black Holes and Calogero Models
• N=4 Supersymmetric Mechanics in Harmonic Superspace
• On the Classification of N-extended Supersymmetric Quantum Mechanical Systems
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• Gauging N=4 Supersymmetric Mechanics
• Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
• New variant of N=4 superconformal mechanics
• Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
• N=8 superconformal mechanics
• "Root" Action for N=4 Supersymmetric Mechanics Theories
• Extended Supersymmetric Quantum Mechanics
• When Superspace Is Not Enough
• Supersymmetric Quantum Mechanics from Light Cone Quantization
• Manifest (4,0) Supersymmetry, Sigma Models and The ADHM Instaton Construction
• N=4, d=1 tensor multiplet and hyper-Kahler sigma-models
• A Journey Through Garden Algebras
• N=4 supersymmetric Eguchi-Hanson sigma model in d=1

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