Abstract

String theory provides a framework to study phenomenological models of dark energy with many fields – models which have not been explored with respect to their mathematical and phenomenological structures. This has largely been due to the lack of working methods to study such solutions. In this talk, I give an overview on recent progress which allows us to study these solutions in an efficient way – heavily utilising automatic differentiation, just in time compilation and vectorisation. I illustrate this numerical framework in the context of flux vacua of Calabi-Yau compactifications of Type IIB string theory. Here we are able to obtain ensembles of solutions for several geometries which enable us to look at the statistics of phenomenological properties (e.g. |W0|) of such solutions. This allows us to identify universal structures and differences across geometries. I also present results where this framework allows us to identify for the first time long conjectured solutions with supersymmetry breaking.