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We develop geometric techniques to determine the spectrum and the chiral indices of matter multiplets for four-dimensional F-theory compactifications on elliptic Calabi-Yau fourfolds with rank two Mordell-Weil group. The general elliptic…

High Energy Physics - Theory · Physics 2015-06-16 Mirjam Cvetič , Antonella Grassi , Denis Klevers , Hernan Piragua

We construct a family of elliptically fibered Calabi-Yau four-folds Y_4 for F-theory compactifications that realize SU(5) GUTs in the low-energy limit. The three-fold base X_3 of these fibrations is almost Fano and satisfies the topological…

High Energy Physics - Theory · Physics 2015-05-13 Joseph Marsano , Natalia Saulina , Sakura Schafer-Nameki

We construct a set of chirality inducing G_4-fluxes in global F-theory compactifications on Calabi-Yau four-folds. Special emphasis is put on models with gauge group SU(5) x U(1)_X relevant in the context of F-theory GUT model building,…

High Energy Physics - Theory · Physics 2015-05-30 Sven Krause , Christoph Mayrhofer , Timo Weigand

Motivated by orbifold grand unified theories, we construct a class of three-family Pati-Salam models in a Z6 abelian symmetric orbifold with two discrete Wilson lines. These models have marked differences from previously-constructed…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tatsuo Kobayashi , Stuart Raby , Ren-Jie Zhang

We construct, for the first time, a three-family $\mathcal{N}=1$ supersymmetric Pati-Salam model from rigid intersecting D6-branes on a factorizable $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2')$ orientifold with discrete torsion. The…

High Energy Physics - Theory · Physics 2025-07-01 Adeel Mansha , Mudassar Sabir , Tianjun Li , Luyang Wang

Intersecting D-brane model building often suffer from the unstabilized open-string moduli, leading to the unwanted massless adjoint scalars. In our previous work arXiv:2505.03664, this issue was resolved by employing the rigid D6-branes on…

High Energy Physics - Theory · Physics 2026-05-13 Adeel Mansha , Mudassar Sabir , Tianjun Li , Luyang Wang

F-theory admits 7-branes with exceptional gauge symmetries, which can be compactified to give phenomenological four-dimensional GUT models. Here we study general supersymmetric compactifications of eight-dimensional Yang-Mills theory. They…

High Energy Physics - Theory · Physics 2009-04-09 Ron Donagi , Martijn Wijnholt

Generalizing three-family chiral fermion conditions to $I_{ac}=-(3+h)$ and $I_{ac'}=h$, with positive integer $h$, we extend the landscape of three-family ${\cal N}=1$ supersymmetric Pati-Salam models in a broader region. Differing from the…

High Energy Physics - Theory · Physics 2025-12-19 Tianjun Li , Qi Sun , Rui Sun , Lina Wu

We explore a large class of F-theory compactifications to four dimensions. We find evidence that gauge groups that cannot be Higgsed without breaking supersymmetry, often accompanied by associated matter fields, are a ubiquitous feature in…

High Energy Physics - Theory · Physics 2015-10-28 James Halverson , Washington Taylor

We construct new Standard-like models on Type II orientifolds. In Type IIA theory on $\mathbf{T^6/(\Z_2\times \Z_2)}$ orientifold with intersecting D6-branes, we first construct a three-family trinification model where the $U(3)_C\times…

High Energy Physics - Theory · Physics 2008-11-26 Ching-Ming Chen , Tianjun Li , Dimitri V. Nanopoulos

We combine moduli stabilisation and (chiral) model building in a fully consistent global set-up in Type IIB/F-theory. We consider compactifications on Calabi-Yau orientifolds which admit an explicit description in terms of toric geometry.…

High Energy Physics - Theory · Physics 2015-05-30 Michele Cicoli , Christoph Mayrhofer , Roberto Valandro

We investigate the construction of four-family ${\cal N}=1$ supersymmetric Pati-Salam models from Type IIA $\mathbb{T}^6/(\mathbb{Z}_2 \times \mathbb{Z}_2)$ orientifold with intersecting D6-branes. Utilizing the deterministic algorithm…

High Energy Physics - Theory · Physics 2022-07-06 Tianjun Li , Rui Sun , Chi Zhang

The observed replication of fermions in three families is undoubtedly a reflection of a deeper symmetry underlying the standard model. In this paper we investigate one very elementary possibility, that physics above the grand unification…

High Energy Physics - Phenomenology · Physics 2009-10-22 Michael Joyce , Neil Turok

We present a class of N=1 supersymmetric models of particle physics, derived directly from heterotic M-theory, that contain three families of chiral quarks and leptons coupled to the gauge group $SU(3)_C\times SU(2)_{L}\times U(1)_{Y}$.…

High Energy Physics - Theory · Physics 2007-05-23 Ron Donagi , Burt A. Ovrut , Tony Pantev , Daniel Waldram

We present an explicit construction of ${\cal O}(10^{15})$ globally consistent string compactifications that realize the exact chiral spectrum of the Standard Model of particle physics with gauge coupling unification in the context of…

High Energy Physics - Theory · Physics 2019-09-16 Mirjam Cvetic , James Halverson , Ling Lin , Muyang Liu , Jiahua Tian

We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on…

High Energy Physics - Theory · Physics 2015-06-03 Thomas W. Grimm , Hirotaka Hayashi

Despite much recent progress in model building with D-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering F-theory compactifications, which…

High Energy Physics - Theory · Physics 2012-04-04 Ron Donagi , Martijn Wijnholt

We study the geometry of gauge fluxes in four-dimensional F-theory vacua with gauge group SU(3)xSU(2)xU(1)xU(1) and its implications for phenomenology. The models are defined by a previously introduced class of elliptic fibrations whose…

High Energy Physics - Theory · Physics 2016-11-23 Ling Lin , Timo Weigand

We analyze constraints for embedding local SU(5) F-theory GUTs into consistent compactifications and construct explicit three-generation models based on the geometry of arXiv:0904.3932. The key tool for studying constraints in this problem…

High Energy Physics - Theory · Physics 2009-08-21 Joseph Marsano , Natalia Saulina , Sakura Schafer-Nameki

The compactification of 6 dimensional Salam-Sezgin model in the presence of 3-form flux H is investigated. We find a torus topology for this compactification with two cusps which are the places of branes, while at the limit of large size L…

High Energy Physics - Theory · Physics 2009-11-09 Hamid Reza Afshar , Shahrokh Parvizi
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