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Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes

Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes,10.1088/1126-6708/2002/07/026,Journal of High Energy Physics,Ralph Blumenhagen,

Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes   (Citations: 87)
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We investigate orientifolds of type II string theory on K3 and Calabi-Yau 3-folds with intersecting D-branes wrapping special lagrangian cycles. We determine quite generically the chiral massless spectrum in terms of topological invariants and discuss both orbifold examples and algebraic realizations in detail. Intriguingly, the developed techniques provide an elegant way to figure out the chiral sector of orientifold models without computing any explicit string partition function. As a new example we derive a non-supersymmetric Standard-like Model from an orientifold of type IIA on the quintic Calabi-Yau 3-fold with wrapped D6-branes. In the case of supersymmetric intersecting brane models on Calabi-Yau manifolds we discuss the D-term and F-term potentials, the effective gauge couplings and the Green-Schwarz mechanism. The mirror symmetric formulation of this construction is provided within type IIB theory. We finally include a short discussion about the lift of these models from type IIB on K3 to F-theory and from type IIA on Calabi-Yau 3-folds to M-theory on G2 manifolds.
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    • ...This includes (with varying degrees of thoroughness and with varying degrees of assumptions and modeling) [62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77]...

    Andrés Collinucciet al. D-brane deconstructions in IIB orientifolds

    • ...The cancellation of RR tadpoles, and hence of the NSNS tadpoles, requires that the overall homology class of the D6-branes and the O6-planes vanishes [11, 12, 13]:...

    David Bailinet al. Constructing the supersymmetric Standard Model from intersecting D6-br...

    • ...In [8] a systematic construction of special Lagrangians and their intersections was performed for the quintic . The model building application for that case were studied in [9,10] where it was shown that a chiral and gauge spectrum of exactly the standard model can be obtained...
    • ...Unfortunately in the case of the quintic this is the only possibility as special Lagrangians that are calibrated with the same angle do not intersect [9]...
    • ...The spectrum of fields and representations for strings stretching between stack a of Na branes and stack b of Nb branes is given in table 4.3 [1, 9]. Here we use the conventions that the particles are left handed Weyl fermions...
    • ...There are strong consistency constraints coming from cancellation of Ramond-Ramond (RR) tadpoles. The condition for this is [1,2,9]...
    • ...15 will remain massless if [9] X...

    Eran Palti. Model building with intersecting D6-branes on smooth Calabi-Yau manifo...

    • ...Since these closed string sector states carry no gauge representation, the Green Schwarz mechanism in intersecting D-branes on orbifolds does not induce any Fayet-Iliopoulos term provided the three-cycles wrapped by the branes fulfil the three-cycle calibration condition with toroidal part given in equation (5), for more details see e.g. the discussion in [25,26]...

    Florian Gmeineret al. Millions of Standard Models on Z6-prime?

    • ...Since these closed string sector states carry no gauge representation, the Green Schwarz mechanism in intersecting D-branes on orbifolds does not induce any Fayet-Iliopoulos term provided the three-cycles wrapped by the branes fulfil the three-cycle calibration condition with toroidal part given in equation (5), for more details see e.g. the discussion in [25,26]...

    Florian Gmeineret al. Millions of standard models on Bbb Z6'?

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