Abstract
We present a geometric approach to D-brane model building on the non-factorisable torus backgrounds of T 6/ℤ 4, which are A 3 × A 3 and A 3 × A 1 × B 2. Based on the counting of ‘short’ supersymmetric three-cycles per complex structure vev, the number of physically inequivalent lattice orientations with respect to the anti-holomorphic involution ℛ of the Type IIA/Ωℛ orientifold can be reduced to three for the A 3 ×A 3 lattice and four for the A 3 × A 1 × B 2 lattice. While four independent three-cycles on A 3 × A 3 cannot accommodate phenomenologically interesting global models with a chiral spectrum, the eight-dimensional space of three-cycles on A 3 × A 1 × B 2 is rich enough to provide for particle physics models, with several globally consistent two- and four-generation Pati-Salam models presented here.
We further show that for fractional sLag three-cycles, the compact geometry can be rewritten in a (T 2)3 factorised form, paving the way for a generalisation of known CFT methods to determine the vector-like spectrum and to derive the low-energy effective action for open string states.
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Berasaluce-González, M., Honecker, G. & Seifert, A. Towards geometric D6-brane model building on non-factorisable toroidal ℤ 4-orbifolds. J. High Energ. Phys. 2016, 62 (2016). https://doi.org/10.1007/JHEP08(2016)062
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DOI: https://doi.org/10.1007/JHEP08(2016)062