Type IIA Orientifolds on General Supersymmetric Z_N Orbifolds

TL;DR

This paper develops methods to construct Type IIA orientifolds on various supersymmetric Z_N orbifolds, including non-factorisable tori, and presents new explicit models for Z7, Z8, Z8', Z12, and Z12' cases.

Contribution

It introduces techniques for handling non-factorisable six-dimensional tori in Type IIA orientifolds on supersymmetric Z_N orbifolds and constructs new explicit models.

Findings

New orientifold models for Z7, Z8, Z8', Z12, Z12' orbifolds.

Methods to manage non-factorisable tori in orientifold construction.

Explicit examples demonstrating the applicability of the methods.

Abstract

We construct Type IIA orientifolds for general supersymmetric Z_N orbifolds. In particular, we provide the methods to deal with the non-factorisable six-dimensional tori for the cases Z7, Z8, Z8', Z12 and Z12'. As an application of these methods we explicitly construct many new orientifold models.