  We present an extension of our construction (hep-th/0606199) exhibiting
$SO(4)\times SO(2)$ symmetry. We extend the previously presented ansatz by
introducing a U(1) gauge field. The presence of the gauge field allows for more
general values of the Killing spinor U(1) charge. One more time we identify a
four dimensional Kahler structure and a Monge-Ampere type of equation
parametrized by the U(1) Killing spinor charge. In addition we identify 2
scalars that parametrize the supersymmetric solutions, one of which is the
Kahler potential.
