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

dc.creatorDelduc, F.
dc.creatorIvanov, E.
dc.date2007-06-05
dc.date2007-10-01
dc.date.accessioned2026-07-07T10:56:03Z
dc.date.available2026-07-07T10:56:03Z
dc.descriptionElaborating 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.
dc.description22 pages, Latex, minor corrections, to appear in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/0706.0706
dc.identifierhttp://arxiv.org/abs/0706.0706
dc.identifierNucl.Phys.B787:176-197,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.07.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186283
dc.subjectHigh Energy Physics - Theory
dc.titleThe Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
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