Investigation of the String Landscape in the Free Fermionic Heterotic String formalism via an extended gauge framework

Taming the large landscape of vacua 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 and a suitable construction method has been made in [1]. Here, we will focus on the Free Fermionic Heterotic String (FFHS) construction formalism presented in [1] but will extend the gauge framework presented therein in our attempt to make the model building approach more robust and encompassing. We explicitly construct all layer 1 extended gauge, FFHS models and present an overview of the model building process, redundancies therein, and methods used to deal with such redundancies. Finally, statistics for both 4d N=4 and N=0 SUSY models are presented.