Soft Scalar Masses in String Models with Anomalous $U(1)$ symmetry
  We obtain the low-energy effective theory from string models with anomalous $U(1)$ symmetry. The feature of soft supersymmetry breaking scalar masses and some phenomenological implications are discussed. We show that it is, in general, difficult to keep the degeneracy and the positivity of squared soft scalar masses at the Planck scale. 
Yoshiharu Kawamura and Tatsuo Kobayashi