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

Abstract : Elaborating on previous work (hep-th/0605211, 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 λ and τ gauge 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 τ frame, gives rise to both linear and nonlinear chirality constraints.
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Submitted on : Friday, July 13, 2007 - 2:16:01 PM
Last modification on : Thursday, April 19, 2018 - 2:54:03 PM
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François Delduc, E. Ivanov. The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics. 2007. ⟨ensl-00162422⟩

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