Twistor-like formulation of super p-branes

Closed super (p + 2)-forms in target superspace are relevant for the construction of the usual super p-brane actions. Here we construct closed super (p + 1)-forms on a worldvolume superspace. They are built out of the pull-backs of the Kalb—Ramond super (p + 1)-form and its curvature. We propose a twistor-like formulation of a class of super p-branes which crucially depends on the existence of these closed super (p + 1)-forms