F-theory GUT vacua on compact Calabi-Yau fourfolds

By Thomas W. Grimm, Sven Krause, T. Weigand. 2009

136 citations recorded by the source corpus.

We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry. To this end we explicitly construct elliptically fibered Calabi-Yau fourfolds as complete intersections in a toric ambient space. Toric methods enable us to control the singular geometry of the SU(5) GUT model. The GUT brane wraps a non-generic del Pezzo surface admitting GUT symmetry breaking via hypercharge flux. It is contractible to a curve and we demonstrate the existence of a consistent decoupling limit. We compute the Euler characteristic of the singular Calabi-Yau fourfold to show that our three-generation flux solutions obtained via the spectral cover construction are consistent with D3-tadpole cancellation.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8f299e2060491c32759fdd3fb34b437a7a92799c

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Citations in the corpus

Global F-theory GUTs (2009, background): “We believe that this is an artifact of the simple geometry we are considering here, and have evidence that this problem can be ameliorated by simple extensions of this setup [67].”
Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s (2011, background): “Previously, the only complete resolutions in the literature relied on the realization of the singular 4-fold as a complete intersection in some ambient toric space [2,11,17,18].”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, methodology): “In [27] it was used to resolve U(1)-restricted Tate models describing certain SU(5)×U(1) F-theory GUT models using the geometries of [16, 17].”
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.”
U(1) symmetries in F-theory GUTs with multiple sections (2012, methodology): “In the context of four-dimensional F-theory SU(5) GUT models this procedure has been carried out, using various techniques, in [12–14, 41–44] (see [45–50] for other gauge groups).”
T-branes and monodromy (2010, background): “In phenomenological applications, this assumption is typically made to kill unwanted exotic bulk modes and to allow the possibility of a decoupling limit [1–4,25,44]”
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 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].”
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].”