  We formulate a gauged linear sigma model on a supermanifold. The structure of
classical vacua is investigated and one-loop corrections are calculated for an
auxiliary D-field. We find out a constraint for the one-loop divergence to
vanish, which is consistent with a Ricci flatness condition for the
supermanifold. Two types of D-branes are obtained by analysing supersymmetric
boundary conditions. We also provide extensions to a non-abelian gauged linear
sigma model and a (0,2) supersymmetric model.
