N = 1, D = 2 supermembrane in the coset approach

The 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 → 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 14 breaking of N = 1, D = 5 supersymmetry along similar lines.