Two–twistor Description of Membrane

We describe D = 4 twistorial membrane in terms of two twistorial three–dimensional world volume fields. We start with the D–dimensional p–brane generalizations of two phase space string formulations: due to Siegel, with two vectorial fourmomenta, and the formulation with tensorial momenta. Further we consider tensionful membrane case in D = 4. By using the membrane generalization of Cartan–Penrose formula we express the fourmomenta by spinorial fields and obtain the intermediate spinor–space-time formulation. Further by expressing the worldvolume dreibein and the membrane space-time coordinate fields in terms of two twistor fields one obtains the purely twistorial formulation. It appears that the action is generated by a geometric three–form on two–twistor space. Finally we comment on higher–dimensional (D > 4) twistorial p–brane models and their superextensions. PACS: 11.30.Ly, 11.30.Pb, 11.10.Ef