Ricci-flat Kahler Manifolds from Supersymmetric Gauge Theories

Details Ricci-flat Kahler Manifolds from Supersymmetric Gauge Theories Ricci-flat Kahler Manifolds from Supersymmetric Gauge Theories

2001-08-13

arxiv.org/abs/hep-th/0108084v3

Nucl.Phys. B623 (2002) 133-149

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 18 pages, no figures, typos corrected, the version published in NPB

Scientific paper

10.1016/S0550-3213(01)00591-0

Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kahler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. 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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