Global F-theory GUTs

By Ralph Blumenhagen, Thomas W. Grimm, Benjamin Jurke, T. Weigand. 2009

216 citations recorded by the source corpus.

We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi–Yau fourfolds realized as complete intersections of two hypersurface constraints. The intersections of the GUT brane and the flavour branes as well as the gauge flux are described by the spectral cover construction. We consider a split S [ U ( 4 ) × U ( 1 ) X ] spectral cover, which allows for the phenomenologically relevant Yukawa couplings and GUT breaking to the MSSM via hypercharge flux while preventing dimension-4 proton decay. General expressions for the massless spectrum, consistency conditions and a new method for the computation of curvature-induced tadpoles are presented. We also provide a geometric toolkit for further model searches in the framework of toric geometry. Finally, an explicit global model with three chiral generations and all required Yukawa couplings is defined on a Calabi–Yau fourfold which is fibered over the del Pezzo transition of the Fano threefold P 4 [ 4 ] .

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8c5b630422748ce62bc18bdaeeb8589a076f861d

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Citations in the corpus

U(1) symmetries in F-theory GUTs with multiple sections (2012, methodology): “(1) gauge eld from dimensional reduction of the M-theory three-form C 3. In the context of four-dimensional F-theory SU(5) GUT models this procedure has been carried out, using various techniques, in [22, 23, 24, 6, 7, 8] (see [25] for other gauge groups). Abelian symmetries that are not in the Cart”
F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, methodology): “In this short article, we continue the construction of compact SU(5) GUT models, generalising the approach developed in [33].”
Matter and singularities (2011, methodology): “F-theory methods for analyzing matter in 4D theories in the presence of flux were developed in [24, 25]; following these works there has been a great deal of recent work on 4D F-theory constructions with particular focus on phenomenological applications (see for example [40, 41, 42, 43]); for review”
Lectures on F-theory compactifications and model building (2010, methodology): “Table 2: Relevant gauge enhancements in a generic SU(5) GUT geometry (borrowed from [44]).”
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors (2013, methodology): “with SU(5) and SO(10) gauge group singularities [4, 6, 7, 8], but also needs to globally understand the physics of Abelian gauge symmetries.”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, methodology): “(90), (92), (93) of [16], confirms that they precisely match our global result (4.”
Compact F-theory GUTs with U(1)PQ (2009, methodology): “erwise have also given rise to consistent supersymmetric models. 4.3.2 Flux contribution The induced D3-brane charge due to spectral cover ﬂuxes, on the other hand, can be computed using the relation [32] ND3,Γ = 1 2 Z X4 G∧ G= − 1 2 Γ2 . (4.49) where Γ2 refers to the self-intersection number of Γ i”
F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, background): “The road to the construction of semi-realistic compact F-theory GUTs models with SU(5) or SO(10) gauge group has been paved in [5, 6, 7, 8, 9], although a model passing most phenomenological tests has yet to be constructed.”
Anomaly cancellation and abelian gauge symmetries in F-theory (2012, methodology): “These intersection properties can be checked by performing an explicit resolution, employing compact toric methods in [32, 33, 34, 35, 36, 37, 38, 39] and the local methods and their extensions in [40, 12].”
Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s (2011, methodology): “It is also clear that, as suggested by [2], the result will change in the presence of additional singularities(11) since those will in general necessitate further blow-ups.”
Small resolutions of SU(5)-models in F-theory (2011, background): “Their analysis can be generalized to case of singular fibers above codimension-one points of an elliptic fibration over a higher dimensional 2 For particular toric examples see [43, 44, 44].”
F-theory on all toric hypersurface fibrations and its Higgs branches (2014, background): “for the construction of semi-realistic GUTs in global F-theory compactifications starting with [10,11] or the classification and study of 6D SCFTs [12–14].”
Anomaly equations and intersection theory (2011, background): “Acknowledgement First and foremost I would like to thank Wati Taylor for his guidance, support and en(12)An incomplete list of references on the structure of four-dimensional F-theory backgrounds is given in the bibliography [25, 52, 55, 58, 79, 80, 81, 82, 83, 84].”
F-theory fluxes, chirality and Chern-Simons theories (2011, methodology): “Such resolutions can be performed using toric methods as in [14, 15, 10, 11, 16, 17, 18, 19], or stepwise as recently shown in [20, 13].”
G-flux in F-theory and algebraic cycles (2011, methodology): “a way to compute the D3-tadpole has been tested in situations without Heterotic dual in [9].”