Construction of Supersymmetric Nonlinear Sigma Models on Noncompact Calabi-Yau Manifolds with Isometry

Details Construction of Supersymmetric Nonlinear Sigma Models on Noncompact Calabi-Yau Manifolds with Isometry Construction of Supersymmetric Nonlinear Sigma Models on Noncompact Calabi-Yau Manifolds with Isometry

2002-10-03

arxiv.org/abs/hep-th/0210034v1

Nucl.Phys.B Proc.Suppl. 117, Supplement 1 (2003) 867-869

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, using espcrc2.sty, 3 pages, no figures, Talk given at the 31st International Conference on High Energy Physics (ICHEP

Scientific paper

10.1016/S0920-5632(03)90693-1

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.

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