F-theory Compactifications for Supersymmetric GUTs

By J. Marsano, N. Saulina, Sakura Schafer-Nameki. 2009

134 citations recorded by the source corpus.

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 criteria required to ensure that the U(1)_Y gauge boson remains massless, while allowing a decoupling of GUT and Planck scale physics. We study generic features of these models and the ability to engineer three chiral generations of MSSM matter. Finally, we demonstrate that it is relatively easy to implement the topological conditions required to reproduce certain successful features of local F-theory models, such as the emergence of flavor hierarchies.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ea9549d802a10b6339f93d563308e326d1a86302

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In Nuclear and High Energy Physics

Citations in the corpus

Global F-theory GUTs (2009, background): “[30, 31] to make progress in the construction of global models.”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, background): “As demonstrated in [18, 19], the efficiency of the toric approach allows for a systematic construction and study of a large set of four-dimensional F-theory GUT vacua which, in particular, comprises the full four-fold associated with the base space constructed previously in [20], see also [21].”
F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, background): “Another setup for SU(5) GUT models is presented in [35, 36, 37], whose geometric analysis focuses on the construction of a non-Fano base space.”
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): “As far as the construction of gauge flux is concerned, the models [44–46, 86–88] rely on the spectral cover approach outlined in section 3.”
Compact F-theory GUTs with U(1)PQ (2009, methodology): “We then verify that in several explicit examples, the D3-brane tadpole induced by the combination of our base manifold, B3, and the G-fluxes is negative (6)In [2], we use the notation X̃ for the base manifold rather than B3.”
Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s (2011, background): “generally, including to 4-folds built on base 3-folds B3 like the one of [6] that does not sit nicely inside some toric variety.”