Chiral Supersymmetric Gepner Model Orientifolds

TL;DR

This paper constructs specific orientifolds of Gepner models, providing formulas for one-loop amplitudes and demonstrating the potential to realize MSSM-like features such as chirality and family replication.

Contribution

It explicitly formulates A-type orientifolds of Gepner models and derives general amplitude expressions, enabling analysis of MSSM-like features in these models.

Findings

Achieved unitary gauge groups with large rank

Demonstrated chirality and family replication possibilities

Provided explicit formulas for one-loop amplitudes

Abstract

We explicitly construct A-type orientifolds of supersymmetric Gepner models. In order to reduce the tadpole cancellation conditions to a treatable number we explicitly work out the generic form of the one-loop Klein bottle, annulus and Moebius strip amplitudes for simple current extensions of Gepner models. Equipped with these formulas, we discuss two examples in detail to provide evidence that in this setting certain features of the MSSM like unitary gauge groups with large enough rank, chirality and family replication can be achieved.