Orientifold's Landscape: Non-Factorisable Six-Tori

TL;DR

This paper explores non-factorisable lattices in type IIA orientifolds on T6/(Z2 x Z2), analyzing their impact on tadpole conditions and chiral spectra, and providing explicit construction examples.

Contribution

It introduces a method for constructing orientifolds on non-factorisable lattices and examines how these configurations influence model building and chiral spectrum generation.

Findings

Non-factorisable lattices affect tadpole cancellation conditions.

Including non-parallel D6-branes enables chiral spectra.

Constructed explicit example demonstrating these features.

Abstract

We construct type IIA orientifolds on T6/(Z2 x Z2) which admit non factorisable lattices. We describe a method to deal with this kind of configurations and discuss how the compactification lattice affects the tadpole cancellation conditions. Moreover, we include D6-branes which are not parallel to O6-planes. These branes can give rise to chiral spectra in four dimensions, thus uncovering a new corner in the landscape of intersecting D-brane model constructions. We demonstrate the construction at an explicit example. In general we argue that obtaining an odd number of families is problematic.