Investigation of the String-scale massive GSO states in the Free Fermionic Heterotic String formalism

Finding at least one String state, out of the extremely large landscape of vacua, that uniquely resembles our observable universe is a central problem in String phenomenology and is critical to making progress in String theory. An effort to explore this landscape of String vacua via the use of high-performance computing (HPC) and a suitable construction method has been made in [1], and the gauge framework in the latter has been extended in [2] to make the model building approach more robust and encompassing. While the last two works deal with the gauge sector and present a somewhat comprehensive understanding of the String landscape with respect to that, the analysis is incomplete without the inclusion of the matter sector. Also, the states therein are not truly String-scale massive (~ 10¹⁸ GeV). Here, we will focus on the Weakly Coupled Free Fermionic Heterotic String (WCFFHS) construction formalism presented in [1] and [2], but will focus on the matter sector via building String-scale massive GSO states. An overview of the model building process and the statistics of the resulting models will be presented.