Supersymmetric theories of extended objects with spatial dimension two or greater may prove to be more viable than has hitherto been realized. In particular, the existence of models with a local fermionic gauge invariance reopens the question whether such theories can contain massless states. In a semiclassical approximation, we show that the quantum corrections to the spin-mass relation are not inconsistent with the possibility of massless states. The analysis is carried out in a topologically-stabilized sector of the super 2-membrane theory in 11-dimensional spacetime. We also show at the classical level that this theory has a consistent truncation to the type IIA superstring in 10 dimensions.
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