The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics

Abstract

Elaborating on previous work (hep-th/0605211, hep-th/0611247), we show how the linear and nonlinear chiral multiplets of N=4 supersymmetric mechanics with the off-shell content (2,4,2) can be obtained by gauging three distinct two-parameter isometries of the ``root'' (4,4,0) multiplet actions. In particular, two different gauge groups, one abelian and one non-abelian, lead, albeit in a disguised form in the second case, to the same (unique) nonlinear chiral multiplet. This provides an evidence that no other nonlinear chiral N=4 multiplets exist. General sigma model type actions are discussed, together with the restricted potential terms coming from the Fayet-Iliopoulos terms associated with abelian gauge superfields. As in our previous work, we use the manifestly supersymmetric language of N=4, d=1 harmonic superspace. A novel point is the necessity to use in parallel the λand τgauge frames, with the ``bridges'' between these two frames playing a crucial role. It is the N=4 harmonic analyticity which, though being non-manifest in the τframe, gives rise to both linear and nonlinear chirality constraints.

22 pages, Latex, minor corrections, to appear in Nucl. Phys. B

References in corpus (8)

• Hierarchy of N=8 Mechanics Models
• Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
• The Quantum Mechanics SUSY Algebra: An Introductory Review
• N=4, d=1 tensor multiplet and hyper-Kahler sigma-models
• Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics
• Nonlinear (4, 8, 4) Multiplet of N=8, d=1 Supersymmetry
• A new N = 8 nonlinear supermultiplet
• N=4, d=3 nonlinear electrodynamics

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• Superfield Formulation of Nonlinear N=4 Supermultiplets
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models
• Superconformal Quantum Mechanics from M2-branes
• Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
• Gauging isometries in N=4 supersymmetric mechanics