Ricci-flat Kahler Manifolds from Supersymmetric Gauge Theories

Abstract

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.

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

References in corpus (4)

• Hyper-Kahler Calabi Metrics, L^2 Harmonic Forms, Resolved M2-branes, and AdS_4/CFT_3 Correspondence
• 3-branes on spaces with R x S^2 x S^3 topology
• Supersymmetric Nonlinear Sigma Models on Ricci-flat Kahler Manifolds with O(N) Symmetry
• A Note on Conifolds

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