Supersymmetric Standard Model Spectra from RCFT orientifolds

TL;DR

This paper systematically constructs supersymmetric orientifold models with Standard Model-like spectra from Gepner models, identifying solutions with realistic features and analyzing their gauge coupling properties.

Contribution

It provides a comprehensive search for supersymmetric Standard Model spectra in Gepner model orientifolds, including detailed analysis of gauge couplings and matter content.

Findings

Nearly 180,000 solutions found with Standard Model-like spectra.

Some solutions have massless gauge bosons matching the Standard Model.

Distribution of gauge couplings centered around unification point.

Abstract

We present supersymmetric, tadpole-free d=4,N=1 orientifold vacua with a three family chiral fermion spectrum that is identical to that of the Standard Model. Starting with all simple current orientifolds of all Gepner models we perform a systematic search for such spectra. We consider several variations of the standard four-stack intersection brane realization of the standard model, with all quarks and leptons realized as bifundamentals and perturbatively exact baryon and lepton number symmetries, and with a U(1)_Y vector boson that does not acquire a mass from Green-Schwarz terms. The number of supersymmetric Higgs pairs H_1 + H_2 is left free. In order to cancel all tadpoles, we allow a "hidden" gauge group, which must bechirally decoupled from the standard model. We also allow for non-chiral mirror-pairs of quarks and leptons, non-chiral exotics and (possibly chiral) hidden, standard model singlet matter, as well as a massless B-L vector boson. All of these less desirable features are absent in some cases, although not simultaneously. In particular, we found cases with massless Chan-Paton gauge bosons generating nothing more than SU(3) x SU(2) x U(1). We obtain almost 180000 rationally distinct solutions (not counting hidden sector degrees of freedom), and present distributions of various quantities. We analyse the tree level gauge couplings, and find a large range of values, remarkably centered around the unification point.