Calabi-Yau Manifolds of Cohomogeneity One as Complex Line Bundles

Abstract

We present a simple derivation of the Ricci-flat Kahler metric and its Kahler potential on the canonical line bundle over arbitrary Kahler coset space equipped with the Kahler-Einstein metric.

LaTeX2e, 20 pages, no figures, some minor modification in introduction

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• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
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• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models
• Higher-curvature generalization of Eguchi-Hanson spaces
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• Wilsonian Renormalization Group Approach to $\mathcal{N}=2$ Supersymmetric Sigma Models
• Conductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions
• Highest Weight Generating functions for hyperKahler T*(G/H) spaces
• Construction of Supergravity Backgrounds with a Dilaton Field
• Orbifold black holes
• Fractional black $p$-branes on orbifold ${\mathbb{C}}^n/{\mathbb{Z}}_n$
• Kahler Potentials on Toric Varieties
• Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties
• Zero-mode Spectrum of Eleven-dimensional Theory on the Plane-wave Background