Abstract
Much work has been done by a number of authors with the aim of constructing the supersymmetric Standard Model in type IIA intersecting-brane theories compactified on an orientifold with various \( \mathbb{Z} \) N or \( \mathbb{Z} \) M × \( \mathbb{Z} \) N point groups. Here we consider the \( \mathbb{Z} \) 12 point group which has previously received comparatively little attention. We consider intersecting D6-branes that wrap 3-cycles consisting of a 2-cycle of the 4-dimensional lattice upon which the \( \mathbb{Z} \) 12 is realised times a 1-cycle of the remaining 2-torus. Our discussion is restricted to the case when these 2-cycles are “factorisable” in the sense discussed in section 3. Although it is possible to find models with the correct supersymmetric Standard Model quark-doublet content, we have not found it possible to obtain the correct quark-singlet content.
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Bailin, D., Love, A. Intersecting D6-branes on the \( \mathbb{Z} \) 12-II orientifold. J. High Energ. Phys. 2014, 9 (2014). https://doi.org/10.1007/JHEP01(2014)009
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DOI: https://doi.org/10.1007/JHEP01(2014)009