Oddness from Rigidness

Abstract

We revisit the problem of constructing type IIA orientifolds on T^6/(Z2 x Z2) which admit (non)-factorisable lattices. More concretely, we consider a (Z2 x Z2') orientifold with torsion, where D6-branes wrap rigid 3-cycles. We derive the model building rules and consistency conditions in the case where the compactification lattice is non-factorisable. We show that in this class of configurations, (semi) realistic models with an odd number of families can be easily constructed, in contrast to compactifications where the D6-branes wrap non-rigid cycles. We also show that an odd number of families can be obtained in the factorisable case, without the need of tilted tori. We illustrate the discussion by presenting three family Pati-Salam models with no chiral exotics in both factorisable and non-factorisable toroidal compactifications.

20 pages

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Cited by in corpus (16)

• Discrete flavor symmetries in D-brane models
• Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion
• D6-branes and axion monodromy inflation
• Kaehler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds - The complete perturbative story
• Stringy Instanton Effects in Models with Rigid Magnetised D-branes
• Non-perturbative transitions among intersecting-brane vacua
• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds
• 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
• Yukawa couplings from magnetized D-brane models on non-factorisable tori
• Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles
• Yukawa couplings for intersecting D-branes on non-factorisable tori
• Deformations on Tilted Tori and Moduli Stabilisation at the Orbifold Point