R symmetries and a heterotic MSSM

TL;DR

This paper uses advanced algebraic techniques to analyze the symmetries and vacuum structure of string-derived particle physics models, revealing implications for moduli stabilization and phenomenology.

Contribution

It introduces new methods to study R symmetries and vacuum landscapes in heterotic string models, enhancing understanding of their phenomenological implications.

Findings

Identification of a large landscape of vacua with diverse properties

Discovery of new R symmetry selection rules affecting moduli stabilization

Insights into the role of discrete symmetries in string-derived models

Abstract

We employ powerful techniques based on Hilbert- and Groebner bases to analyze particle physics models derived from string theory. Individual models are shown to have a huge landscape of vacua that differ in their phenomenological properties. We explore the (discrete) symmetries of these vacua, the new R symmetry selection rules and their consequences for moduli stabilization.