The Heterotic Road to the MSSM with R parity

TL;DR

This paper extends previous heterotic string landscape searches, finding models with MSSM spectra, R parity, realistic Yukawa textures, and neutrino masses, advancing string phenomenology towards realistic supersymmetric models.

Contribution

It introduces new heterotic string models with MSSM spectra and exact R parity, including realistic Yukawa matrices and neutrino masses, building on prior landscape analyses.

Findings

Many models with MSSM spectra and R parity found

Models include realistic Yukawa matrices for three families

Models feature Majorana neutrino masses with See-Saw mechanism

Abstract

In a previous paper, referred to as a "Mini-Landscape" search, we explored a "fertile patch" of the heterotic landscape based on a Z6-II orbifold with SO(10) and E6 local GUT structures. In the present paper we extend this analysis. We find many models with the minimal supersymmetric standard model spectra and an exact R parity. In all of these models, the vector-like exotics decouple along D flat directions. We present two "benchmark" models which satisfy many of the constraints of a realistic supersymmetric model, including non-trivial Yukawa matrices for 3 families of quarks and leptons and Majorana neutrino masses for right-handed neutrinos with non-trivial See-Saw masses for the 3 light neutrinos. In an appendix we comment on the important issue of string selection rules and in particular the so-called "gamma-rule".