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Zbl 1194.81288
Blumenhagen, Ralph; Braun, Volker; Grimm, Thomas W.; Weigand, Timo
GUTs in type IIB orientifold compactifications. (English)
[J] Nucl. Phys., B 815, No. 1-2, 1-94 (2009). ISSN 0550-3213

Summary: We systematically analyse globally consistent $SU(5)$ GUT models on intersecting D7-branes in genuine Calabi-Yau orientifolds with O3- and O7-planes. Beyond the well-known tadpole and K-theory cancellation conditions there exist a number of additional subtle but quite restrictive constraints. For the realisation of $SU(5)$ GUTs with gauge symmetry breaking via $U(1)_Y$ flux we present two classes of suitable Calabi-Yau manifolds defined via del Pezzo transitions of the elliptically fibred hypersurface ${\Bbb P}_{1,1,1,6,9}$ and of the Quintic ${\Bbb P}_{1,1,1,1,1}$, respectively. To define an orientifold projection we classify all involutions on del Pezzo surfaces. We work out the model building prospects of these geometries and present five globally consistent string GUT models in detail, including a 3-generation $SU(5)$ model with no exotics whatsoever. We also realise other phenomenological features such as the $\bold 10105_H$ Yukawa coupling and comment on the possibility of moduli stabilisation, where we find an entire new set of so-called swiss-cheese type Calabi-Yau manifolds. It is expected that both the general constrained structure and the concrete models lift to F-theory vacua on compact Calabi-Yau fourfolds.

MSC 2000:: *81V22 Unified theories of elementary partcles
81T30 String and superstring theories
14J32 Calabi-Yau manifolds
81R40 Symmetry breaking
14N35 Quantum cohomology

Keywords: del Pezzo transitions

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Zentralblatt MATH Berlin [Germany]