Abstract
We employ the non-linear realization techniques to relate
the 
= 1 chiral, and the = 2 vector
multiplets to the Goldstone spin 1/2 superfield arising from
partial supersymmetry breaking of = 2 and
= 3 respectively. In both cases, we obtain a family of
non-linear transformation laws realizing an extra supersymmetry. In
the = 2 case, we find an invariant action which is the
low energy limit of the supersymmetric Born-Infeld theory expected
to describe a D3-brane in six dimensions.
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