  We exhibit a transformation taking special Lagrangian submanifolds of a
Calabi-Yau together with local systems to vector bundles over the mirror
manifold with connections obeying deformed Hermitian-Yang-Mills equations. That
is, the transformation relates supersymmetric A- and B-cycles. In this paper,
we assume that the mirror pair are dual torus fibrations with flat tori and
that the A-cycle is a section.
  We also show that this transformation preserves the (holomorphic)
Chern-Simons functional for all connections. Furthermore, on corresponding
moduli spaces of supersymmetric cycles it identifies the graded tangent spaces
and the holomorphic m-forms. In particular, we verify Vafa's mirror conjecture
with bundles in this special case.
