The Flipped SU(5) String Vacua Classification: A Variation Of The SO(10) Breaking Basis Vector

TL;DR

This paper extends the classification of flipped SU(5) heterotic-string vacua by varying the SO(10) breaking basis vector, exploring a vast landscape of models, and confirming the absence of three-generation exophobic vacua.

Contribution

It introduces a new variation of the SO(10) breaking basis vector in the classification of flipped SU(5) vacua and performs a large-scale statistical scan of the model space.

Findings

No three-generation exophobic vacua found

All odd generations are projected out in the scanned models

Comparison with previous classifications highlights differences

Abstract

In this paper, an extension of the classification of flipped SU(5) heterotic-string vacua from [1] with a variation of the SO(10) breaking $\alpha$ basis vector is presented. A statistical sampling in the space of $2^{45}$ flipped SU(5) vacua is explored, where $10^{11}$ distinct GGSO projection configurations are scanned in comparison to the $10^{12}$ GGSO distinct coefficients scanned in the space of $2^{44}$ vacua in [1]. A JAVA code, akin to the one used for the classification in [1], was implemented to explore these. Results presented here indicate that no three generation exophobic vacua exist, which was also found to be the case in [1] as all odd generations were projected out. This paper will also study the details on the comparison between the two classifications achieved and then reflect on future directions in the quest for finding three generation exophobic flipped SU(5) heterotic-string models.