  We consider the supergravity back-reaction of M2 branes wrapping around the
space-time cycles in 1/8-BPS microstate geometries. We show that such brane
wrappings will generically break all the supersymmetries. In particular, all
the supersymmetries will be broken if there are such wrapped branes but the net
charge of the wrapped branes is zero. We show that if M2 branes wrap a single
cycle, or if they wrap a several of co-linear cycles with the same orientation,
then the solution will be 1/16-BPS, having two supersymmetries. We comment on
how these results relate to using W-branes to understand the microstate
structure of 1/8-BPS black holes.
