Model building on the non‐factorisable type IIA  orientifold

Seifert, Alexander; Honecker, Gabriele

doi:10.1002/prop.201500071

Cited by 4 publications

(8 citation statements)

References 5 publications

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“…Finally, in [67] the Yukawa couplings for a torus generated by a D 6 lattice were computed. Here, we will for the first time perform a thorough study of all possible sLag three-cycles on the two different non-factorisable lattice backgrounds A 3 × A 3 and A 3 × A 1 × B 2 of T 6 Z 4 , for which we briefly provided some preliminary results in [68].…”

Section: Introductionmentioning

confidence: 99%

Towards geometric D6-brane model building on non-factorisable toroidal ℤ 4-orbifolds

Berasaluce-González¹,

Honecker²,

Seifert³

2016

J. High Energ. Phys.

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We present a geometric approach to D-brane model building on the nonfactorisable 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 PatiSalam 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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Section: Introductionmentioning

confidence: 99%

Towards geometric D6-brane model building on non-factorisable toroidal ℤ 4-orbifolds

Berasaluce-González¹,

Honecker²,

Seifert³

2016

J. High Energ. Phys.

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“…16,28,[46][47][48] Generalizing these results to so-called non-factorizable tori, e.g. T 6 = (T 3 ) 2 or T 3 × T 1 × T 2 , or orbifolds thereof is possible whenever the sLag cycles can be rewritten in terms of a factorized geometry, as was recently noticed [49][50][51] when extending the first CFT computations 52,53 to intersecting generic D6-branes with chiral spectra on non-factorizable T 6 /(Z 4 ×ΩR) backgrounds. For generic Calabi-Yau threefolds as compact backgrounds, already determining the overall sLag three-cycle Π O6 wrapped by the O6-planes in Eq.…”

Section: Consistency Conditionsmentioning

confidence: 99%

From Type II string theory toward BSM/dark sector physics

Honecker

2016

Int. J. Mod. Phys. A

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Four-dimensional compactifications of string theory provide a controlled set of possible gauge representations accounting for BSM particles and dark sector components. In this review, constraints from perturbative Type II string compactifications in the geometric regime are discussed in detail and then compared to results from heterotic string compactifications and non-perturbative/non-geometric corners. As a prominent example, an open string realization of the QCD axion is presented. The status of deriving the associated low-energy effective action in four dimensions is discussed and open avenues of major phenomenological importance are highlighted. As examples, a mechanism of closed string moduli stabilization by D-brane backreaction as well as one-loop threshold corrections to the gauge couplings and balancing a low string scale M string with unisotropic compact dimensions are discussed together with implications on potential future new physics observations. For illustrative purposes, an explicit example of a globally consistent D6-brane model with MSSM-like spectrum on T 6 /(Z 2 × Z 6 × ΩR) is presented.

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“…the review articles [35][36][37][38][39] and textbooks [40,41] for more comprehensive lists of references. To our best knowledge, the earliest and for many years only works using other background lattices, so-called 'non-factorisable' tori, were [42][43][44][45], with a first investigation of chiral spectra on the non-factorisable Z 4 orientifolds in [46,47]. 2 Based on the counting of special Lagrangian (sLag) three-cycles and inspections of their non-trivial intersection numbers, the A 3 ×A 3 background lattice could be excluded, while the A 3 ×A 1 ×B 2 background lattice showed first promising results in view of phenomenologically appealing spectra.…”

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confidence: 99%

“…There exist two different so-called non-factorisable Z 4 orbifold backgrounds: with the lattice of type A 3 ×A 3 and of type A 3 ×A 1 ×B 2 . Due to the three-cycle topology and geometry, only orbifolds of the second type are interesting for model building in Type IIA string theory [46,47], see figure 1. The Z 4 action is generated by the Coxeter element which acts on π 5 π 6 π 1 π 3 π 2 π 4 ½ ¾12 4 3 Figure 1: T 6 Z 4 orbifold on the A 3 × A 1 × B 2 lattice and its Z 2 fixed lines (in red).…”

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Massless spectra and gauge couplings at one-loop on non-factorisable toroidal orientifolds

2018

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So-called 'non-factorisable' toroidal orbifolds can be rewritten in a factorised form as a product of three two-tori by imposing an additional shift symmetry. This finding of Blaszczyk et al.[1] provides a new avenue to Conformal Field Theory methods, by which the vector-like massless matter spectrum -and thereby the type of gauge group enhancement on orientifold invariant fractional D6-branes -and the one-loop corrections to the gauge couplings in Type IIA orientifold theories can be computed in addition to the well-established chiral matter spectrum derived from topological intersection numbers among threecycles. We demonstrate this framework for the Z 4 × ΩR orientifolds on the A 3 × A 1 × B 2 -type torus. As observed before for factorisable backgrounds, also here the one-loop correction can drive the gauge groups to stronger coupling as demonstrated by means of a four-generation Pati-Salam example. arXiv:1709.07866v3 [hep-th]

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Model building on the non‐factorisable type IIA orientifold

Cited by 4 publications

References 5 publications

Towards geometric D6-brane model building on non-factorisable toroidal ℤ 4-orbifolds

Towards geometric D6-brane model building on non-factorisable toroidal ℤ 4-orbifolds

From Type II string theory toward BSM/dark sector physics

Massless spectra and gauge couplings at one-loop on non-factorisable toroidal orientifolds

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