Construction of Supersymmetric Nonlinear Sigma Models on Noncompact   Calabi-Yau Manifolds with Isometry
  We propose a class of N=2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kahler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kahler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes. 
Kiyoshi Higashijima, Tetsuji Kimura (Osaka Univ.) and Muneto Nitta   (Purdue Univ.)