Ricci-flat metrics on vector bundles over flag manifolds

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 K\"ahler 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.