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

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