  Our recent construction arXiv:0903.3966 for the fuzzy 2-sphere in terms of
bifundamentals, discovered in the context of the ABJM model, is shown to be
explicitly equivalent to the usual (adjoint) fuzzy sphere construction. The
matrices $\tilde G^\alpha$ that define it play the role of fuzzy Killing
spinors on the 2-sphere, out of which all spherical harmonics are constructed.
Starting from the quadratic fluctuation action around these solutions in the
mass-deformed ABJM theory, we recover a supersymmetric D4-brane action wrapping
a 2-sphere, including fermions. We obtain both the usual D4 action with an
unusual x-dependence on the sphere, as well as a twisted version in terms of
the usual x-dependence, and contrast our result with the Maldacena-Nunez case
of a D5 wrapping an S^2. The twisted and unwisted fields are related by the
same matrix $\tilde G^\alpha$.
