= Four-dimensional supermembrane
The four-dimensional minimal <supersymmetric> membrane has embedding coordinates $(X^m,\theta^\alpha)$ with four real odd components. Its area term uses the <supertranslation-invariant superspace coframe>, and a <Wess-Zumino brane coupling> integrates a superspace three-form potential with closed four-form curvature. Equal charge magnitude and tension permit <kappa symmetry>. After <worldvolume> reparametrization and kappa fixing, one transverse scalar and one three-dimensional Majorana <fermion> remain. This gives the long-wavelength description of the translation and <fermion> zero modes of a <supersymmetric domain wall>; it is distinct from restricting the eleven-dimensional M2-brane to a four-dimensional target.
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