Supersymmetric Orientifolds of Gepner Models

TL;DR

This paper systematically constructs supersymmetric orientifolds of four-dimensional Gepner models, deriving Klein bottle amplitudes, tadpole cancellation conditions, and discussing chirality, with detailed examples.

Contribution

It introduces a systematic method for constructing supersymmetric orientifolds of Gepner models, including explicit formulas for Klein bottle amplitudes and tadpole cancellation.

Findings

Derived generic Klein bottle amplitudes for odd-level Gepner models.

Established tadpole cancellation conditions using boundary states.

Presented detailed examples illustrating the construction and properties.

Abstract

Supersymmetric orientifolds of four dimensional Gepner Models are constructed in a systematic way. For all levels of the Gepner model being odd the generic expression for both the A-type and the B-type Klein bottle amplitude is derived. The appearing massless tadpoles are canceled by introducing appropriate boundary states of Recknagel/Schomerus(RS). After determining the Moebius strip amplitude we extract general expressions for the tadpole cancellation conditions. We discuss the issue of chirality for such supersymmetric orientifold models and finally present a couple of examples in detail.