Moduli Stabilisation for Chiral Global Models

Details Moduli Stabilisation for Chiral Global Models Moduli Stabilisation for Chiral Global Models

2011-10-14

arxiv.org/abs/1110.3333v2

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 2 figures; references added; typos corrected; footnote 9 added; paragraph at page 34 expanded

Scientific paper

We combine moduli stabilisation and (chiral) model building in a fully consistent global set-up in Type IIB/F-theory. We consider compactifications on Calabi-Yau orientifolds which admit an explicit description in terms of toric geometry. We build globally consistent compactifications with tadpole and Freed-Witten anomaly cancellation by choosing appropriate brane set-ups and world-volume fluxes which also give rise to SU(5)- or MSSM-like chiral models. We fix all the Kaehler moduli within the Kaehler cone and the regime of validity of the 4D effective field theory. This is achieved in a way compatible with the local presence of chirality. The hidden sector generating the non-perturbative effects is placed on a del Pezzo divisor that does not have any chiral intersections with any other brane. In general, the vanishing D-term condition implies the shrinking of the rigid divisor supporting the visible sector. However, we avoid this problem by generating r

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