Oddness from Rigidness

Details Oddness from Rigidness Oddness from Rigidness

2008-06-13

arxiv.org/abs/0806.2328v1

JHEP0807:086,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1088/1126-6708/2008/07/086

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.

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