Extending the Geometry of Heterotic Spectral Cover Constructions

Understand

In this work we extend the well-known spectral cover construction first developed by Friedman, Morgan, and Witten to describe more general vector bundles on elliptically fibered Calabi-Yau geometries.

• In particular, we consider the case in which the Calabi-Yau fibration is not in Weierstrass form, but can rather contain fibral divisors or multiple sections (i.e.
• a higher rank Mordell-Weil group).
• In these cases, general vector bundles defined over such Calabi-Yau manifolds cannot be described by ordinary spectral data.