N=2 Super-Born-Infeld from Partially Broken N=3 Supersymmetry in d=4
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We employ the non-linear realization techniques to relate the N=1 chiral, and the N=2 vector multiplets to the Goldstone spin 1/2 superfield arising from partial supersymmetry breaking of N=2 and N=3 respectively. In both cases, we obtain a family of non-linear transformation laws realizing an extra supersymmetry. In the N=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.
15 pages, no figures, RevTeX4, new comments and references added, some equations corrected, discussion at end of sec. 3 changed
15 pages, no figures, RevTeX4, new comments and references added, some equations corrected, discussion at end of sec. 3 changed