Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models

TL;DR

This paper constructs specific four-dimensional orientifold models from Gepner models that replicate the chiral spectrum of the Standard Model, exploring their gauge groups and massless U(1) properties.

Contribution

It introduces a method to derive Standard Model-like spectra from Gepner model orientifolds with detailed analysis of gauge groups and massless U(1) features.

Findings

Multiple Standard Model spectra found with specific tensor combinations.

Some models feature massless hypercharge U(1) and massive B-L gauge bosons.

The gauge groups include U(3) x Sp(2) x U(1) x U(1) or U(3) x U(2) x U(1) x U(1).

Abstract

We construct d=4,N=1 orientifolds of Gepner models with just the chiral spectrum of the standard model. We consider all simple current modular invariants of c=9 tensor products of N=2 minimal models. For some very specific tensor combinations, and very specific modular invariants and orientifold projections, we find a large number of such spectra. We allow for standard model singlet (dark) matter and non-chiral exotics. The Chan-Paton gauge group is either U(3) x Sp(2) x U(1) x U(1) or U(3) x U(2) x U(1) x U(1). In many cases the standard model hypercharge U(1) has no coupling to RR 2-forms and hence remains massless; in some of those models the B-L gauge boson does acquire a mass.