Del Pezzo singularities and SUSY breaking

Understand

An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found.

• We present complete intersection CY manifolds for all del Pezzo singularities and study the complex deformations of these singularities.
• An example of the quintic CY manifold with del Pezzo 6 singularity and some number of conifold singularities is studied in details.
• The possibilities for the 'geometric' and ISS mechanisms of dynamical SUSY breaking are discussed.