N=1 D=4 supermembrane in the coset approach

Abstract

$N=1D=4$ 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 $N=1D=4\to N=1d=3$. 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 $N=1D=5$ supersymmetry along similar lines.

11 pages, LaTeX, no figures

References in corpus (2)

• The tensor Goldstone multiplet for partially broken supersymmetry
• On Brane Actions and Superembeddings

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