Ricci-flat metrics on vector bundles over flag manifolds

Abstract

We construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group $SU(n)$, for all Kähler classes. These metrics are natural generalizations of the metrics of Candelas-de la Ossa on the conifold, Pando Zayas-Tseytlin on the canonical bundle over ${\mathbb{CP}}^1\times {\mathbb{CP}}^1$, as well as the metrics on canonical bundles over flag manifolds, recently constructed by van Coevering.

arXiv comment21 pages, 3 figures

References in corpus (7)

• GLSM's for partial flag manifolds
• Kerr-de Sitter Black Holes with NUT Charges
• 3-branes on spaces with R x S^2 x S^3 topology
• Resolutions of non-regular Ricci-flat Kahler cones
• The geometry of antiferromagnetic spin chains
• Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
• Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models

Cited by in corpus (4)

• Flag manifold sigma models: spin chains and integrable theories
• The classical and quantum particle on a flag manifold
• Resolution a la Kronheimer of ${\mathbb{C}}^3/\Gamma$ singularities and the Monge-Ampere equation for Ricci-flat Kaehler metrics in view of D3-brane solutions of supergravity
• Oscillator Calculus on Coadjoint Orbits and Index Theorems