Constructing the supersymmetric Standard Model from intersecting D6-branes on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>6</mml:mn><mml:mo>′</mml:mo></mml:msubsup></mml:math>orientifold

Bailin, David; Love, Alexander

doi:10.1016/j.nuclphysb.2008.09.036

Cited by 24 publications

(54 citation statements)

References 36 publications

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“…Simplest models include toroidal orbifold compactifications, see e.g., [75][76][77][78][79][80][81]. In this section we consider a type IIA orientifold of the…”

Section: An Explicit Examplementioning

confidence: 99%

RR photons

Cámara

Ibáñez

Marchesano

2011

J. High Energ. Phys.

163

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Type II string compactifications to 4d generically contain massless RamondRamond U(1) gauge symmetries. However there is no massless matter charged under these U(1)'s, which makes a priori difficult to measure any physical consequences of their existence. There is however a window of opportunity if these RR U(1)'s mix with the hypercharge U(1) Y (hence with the photon). In this paper we study in detail different avenues by which U(1) RR bosons may mix with D-brane U(1)'s. We concentrate on Type IIA orientifolds and their M-theory lift, and provide geometric criteria for the existence of such mixing, which may occur either via standard kinetic mixing or via the mass terms induced by Stückelberg couplings. The latter case is particularly interesting, and appears whenever D-branes wrap torsional p-cycles in the compactification manifold. We also show that in the presence of torsional cycles discrete gauge symmetries and Aharanov-Bohm strings and particles appear in the 4d effective action, and that type IIA Stückelberg couplings can be understood in terms of torsional (co)homology in M-theory. We provide examples of Type IIA Calabi-Yau orientifolds in which the required torsional cycles exist and kinetic mixing induced by mass mixing is present. We discuss some phenomenological consequences of our findings. In particular, we find that mass mixing may induce corrections relevant for hypercharge gauge coupling unification in F-theory SU(5) GUT's.

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“…Simplest models include toroidal orbifold compactifications, see e.g., [75][76][77][78][79][80][81]. In this section we consider a type IIA orientifold of the…”

Section: An Explicit Examplementioning

confidence: 99%

RR photons

Cámara

Ibáñez

Marchesano

2011

J. High Energ. Phys.

163

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“…Most notably, by trial and error we found in earlier works that the existence of some Z 3 subsymmetry is favourable for providing three particle generations. For example, on the T 6 /(Z 4 × ΩR) [15] and T 6 /(Z 2 × Z 4 × ΩR) [16][17][18][19] backgrounds, it is impossible to construct globally defined supersymmetric D6-brane models with three quark generations, while on T 6 /(Z 6 × ΩR) [20,18,21,22] and T 6 /(Z 6 × ΩR) [23][24][25][26][27]22] such models have been obtained. For the latter, diverse investigations of the related low-energy effective field theory were performed in [22,[28][29][30][31], discrete remnants of gauge symmetries were first investigated in [32], and the relation to some Peccei-Quinn symmetry and axions was studied in [33,34].…”

Section: Introductionmentioning

confidence: 99%

D6-brane model building onZ2×Z6: MSSM-like and left–right symmetric models

2015

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We perform a systematic search for globally defined MSSM-like and left-right symmetric models on D6-branes on the T 6 /(Z 2 × Z 6 × ΩR) orientifold with discrete torsion. Our search is exhaustive for models that are independent of the value of the one free complex structure modulus. Preliminary investigations suggest that there exists one prototype of visible sector for MSSM-like and another for left-right symmetric models with differences arising from various hidden sector completions to global models. For each prototype, we provide the full matter spectrum, as well as the Yukawa and other three-point couplings needed to render vector-like matter states massive. This provides us with tentative explanations for the mass hierarchies within the quark and lepton sectors. We also observe that the MSSM-like models correspond to explicit realisations of the supersymmetric DFSZ axion model, and that the left-right symmetric models allow for global completions with either completely decoupled hidden sectors or with some messenger states charged under both visible and hidden gauge groups. arXiv:1509.00048v1 [hep-th] 31 Aug 2015

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“…[22][23][24], and (T 2 ) 3 Γ with Abelian point groups Γ = Z N or Z N × Z M . In the latter case, models with all three-cycles inherited from the underlying torus have been constructed for Γ = Z 2 × Z 2 [25][26][27][28][29][30] and Z 2 × Z 4 [31][32][33] without discrete torsion, while fractional three-cycles consisting of components inherited from the torus plus exceptional divisors at orbifold singularities have been employed for Γ = Z 4 [34], Z 6 [35,33,36,37], Z ′ 6 [38][39][40][41][42]37] and Z 12−II [43] with a single Z 2 sector and Γ = Z 2 ×Z 2 [44,45], Z 2 ×Z ′ 6 [45][46][47] and Z 2 × Z 6 [45,[48][49][50] with discrete torsion with two Z 2 subgroups.…”

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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Constructing the supersymmetric Standard Model from intersecting D6-branes on theZ6′orientifold

Cited by 24 publications

References 36 publications

RR photons

RR photons

D6-brane model building onZ2×Z6: MSSM-like and left–right symmetric models

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

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