The supermembrane revisited

The M2-brane is studied from the perspective of superembeddings. We review the derivation of the M2-brane dynamics and the supergravity constraints from the standard superembedding constraint and we discuss explicitly the induced d = 3, N = 8 superconformal geometry on the worldvolume. We show that the gauged supermembrane, for a target space with a U(I) isometry, is the standard D2-brane in a type IIA supergravity background. In particular, the D2-brane action, complete with the Dirac-Born-Infeld term, arises from the gauged Wess-Zumino worldvolume 4-form via the brane action principle. The discussion is extended to the massive D2-brane considered as a gauged supermembrane in a massive D = 11 superspace background. Type IIA supergeometry is derived using Kaluza-Klein techniques in superspace.