FlippedSU(5)string vacua classification: A variation of theSO(10)breaking basis vector

Abstract

In this paper, an extension of the classification of flipped $SU(5)$ heterotic-string vacua from Faraggi, Rizos and Sonmez [Nucl. Phys. B886, 202 (2014)] with a variation of the $SO(10)$ breaking $\ensuremath{\alpha}$ 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 Faraggi, Rizos and Sonmez. A JAVA code, akin to the one used for the classification in Faraggi, Rizos and Sonmez, 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 Faraggi, Rizos and Sonmez as all odd generations were projected out. This paper will also study the details on the comparison between the two classifications achieved and reflect on the future directions in the quest for finding three-generation exophobic flipped $SU(5)$ heterotic-string models.