A Comprehensive Scan for Heterotic SU(5) GUT models

Understand

Compactifications of heterotic theories on smooth Calabi-Yau manifolds remains one of the most promising approaches to string phenomenology.

• In two previous papers, http://arXiv.org/abs/arXiv:1106.4804 and http://arXiv.org/abs/arXiv:1202.1757, large classes of such vacua were constructed, using sums of line bundles over complete intersection Calabi-Yau manifolds in products of projective spaces that admit smooth quotients by finite groups.
• A total of 10^12 different vector bundles were investigated which led to 202 SU(5) Grand Unified Theory (GUT) models.
• With the addition of Wilson lines, these in turn led, by a conservative counting, to 2122 heterotic standard models.