  We compute the large N limit of Wilson loop expectation values for a broad
class of N=2 supersymmetric gauge theories defined on a general class of
background three-manifolds M_3, diffeomorphic to S^3. We find a simple closed
formula which depends on the background geometry only through a certain
supersymmetric Killing vector field. The supergravity dual of such a Wilson
loop is an M2-brane wrapping the M-theory circle, together with a complex curve
in a self-dual Einstein manifold M_4, whose conformal boundary is M_3. We show
that the regularized action of this M2-brane also depends only on the
supersymmetric Killing vector, precisely reproducing the large N field theory
computation.
