N=1 D=4 supermembrane in the coset approach
arXiv:hep-th/9901003 · doi:10.1016/S0370-2693(99)00314-7 10.1016/j.physletb.2007.09.063
Abstract
$N=1 D=4$ supermembrane (in a flat background) and super D2-brane dual to it are described within the nonlinear realizations approach as theories of the partial supersymmetry breaking $N=1 D=4 \to N=1 d=3$. We construct the relevant invariant off-shell Goldstone superfield actions and demonstrate them to be dual to each other. Their bosonic cores are, respectively, the static-gauge Nambu-Goto and $d=3$ Born-Infeld actions. The supermembrane superfield equation of motion admits a transparent geometric interpretation suggesting an extension of the standard superembedding constraints. We briefly discuss the 1/4 breaking of $N=1 D=5$ supersymmetry along similar lines.
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