Blowups of Heterotic Orbifolds using Toric Geometry

TL;DR

This paper explores the relationship between heterotic orbifold models and Calabi-Yau moduli spaces by using toric geometry to explicitly construct blowups of orbifold singularities, enabling a better understanding of their connection.

Contribution

It provides explicit methods to connect heterotic orbifold models with Calabi-Yau spaces through blowups using toric geometry techniques.

Findings

All orbifold models can be matched in blowups.

Explicit constructions of blowups are feasible with toric geometry.

Connections between orbifold and Calabi-Yau moduli spaces are clarified.

Abstract

Heterotic orbifold models are promising candidates for models with MSSM like spectra. But orbifolds only correspond to a special place in moduli space, the bigger picture is described by the moduli space of Calabi-Yau spaces. In this talk we will make explicit connections between both points of view. To this end we study blowups of orbifold singularities using both explicit constructions and toric geometry techniques. We show that matching of all orbifold models in blowups are possible.