Orientifold's Landscape: Non-Factorisable Six-Tori

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.

24 pages, one figure, v2: references added, v3: small proof added in footnote 5, minor changes, to appear in JHEP

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• Comments on Orientifolds without Vector Structure
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• Type IIA orientifolds and orbifolds on non-factorizable tori
• From Type II string theory towards BSM/dark sector physics
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Massless Spectra and Gauge Couplings at One-Loop on Non-Factorisable Toroidal Orientifolds
• Three family supersymmetric Pati-Salam model from rigid intersecting D6-branes
• Supersymmetry Breaking in a Minimal Anomalous Extension of the MSSM
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• Yukawa couplings from magnetized D-brane models on non-factorisable tori
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