  We consider a gauged linear sigma model in two dimensions with Grassmann odd
chiral superfields. We investigate the Konishi anomaly of this model and find
out the condition for realization of superconformal symmetry on the
world-sheet. When this condition is satisfied, the theory is expected to flow
into conformal theory in the infrared limit. We construct superconformal
currents explicitly and study some properties of this world-sheet theory from
the point of view of conformal field theories.
