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Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry

✍ Scribed by Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 499 KB
Volume: 117
Category: Article
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(03)90693-1

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✦ Synopsis

We propose a class of N = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kähler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kähler 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.