  This talk summarizes the study of superfield gaugings of isometries of
extended supersymmetric mechanics in hep-th/0605211, hep-th/0611247 and
arXiv:0706.0706. The gauging procedure provides a manifestly supersymmetric
realization of d=1 automorphic dualities which interrelate various irreducible
off-shell multiplets of d=1 extended supersymmetry featuring the same number of
physical fermions but different divisions of bosonic fields into the physical
and auxiliary subsets. We concentrate on the most interesting N=4 case and
demonstrate that, with a suitable choice of the symmetry to be gauged, all such
multiplets of N=4 supersymmetric mechanics and their generic superfield actions
can be obtained from the "root" multiplet (4,4,0) and the appropriate gauged
subclasses of the generic superfield action of the latter by a simple universal
recipe.
