Calabi--Yau complete intersections in exceptional Grassmannians

Abstract

We classify completely reducible equivariant vector bundles on Grassmannians of exceptional Lie groups which give Calabi--Yau 3-folds as complete intersections. In particular, we find a new family of Calabi--Yau 3-folds in an $E_6$-Grassmannian.

arXiv comment10 pages, minor revision