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Oddness from Rigidness · Around

2008

Oddness from Rigidness

Forste, Stefan, Zavala, Ivonne

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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.

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For recent reviews with several references see: A. M. Uranga, Class. Quant. Grav. 22
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S. Förste, C. Timirgaziu and I. Zavala, JHEP 0710
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