Compact F-theory GUTs with U(1)PQ

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

150 citations recorded by the source corpus.

We construct semi-local and global realizations of SU(5) GUTs in F-theory that utilize a U(1)PQ symmetry to protect against dimension four proton decay. Symmetries of this type, which assign charges to Hu and Hd that forbid a tree level μ term, play an important role in scenarios for neutrino physics and gauge mediation that have been proposed in local F-theory model building. As demonstrated in [1], the presence of such a symmetry implies the existence of non-GUT exotics in the spectrum, when hypercharge flux is used to break the GUT group and to give rise to doublet-triplet splitting. These exotics are of precisely the right type to solve the unification problem in such F-theory models and might also comprise a non-standard messenger sector for gauge mediation. We present a detailed description of models with U(1)PQ in the semi-local regime, which does not depend on details of any specific Calabi-Yau four-fold, and then specialize to the geometry of [2] to construct three-generation examples with the minimal allowed number of non-GUT exotics. Among these, we find a handful of models in which the D3-tadpole constraint can be satisfied without requiring the introduction of anti-D3-branes, though this analysis does not incorporate contributions from additional fluxes that will ultimately be needed for moduli stabilization. Finally, because SU(5) singlets that carry U(1)PQ charge may serve as candidate right-handed neutrinos or can be used to lift the exotics, we study their origin in compact models and motivate a conjecture for how to count their zero modes in a semi-local setting.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d3ef5ea003b1657b2c31b1400a80c66144e0c392

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Citations in the corpus

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.”
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.”
Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s (2011, background): “So-called non-universal fluxes such as those used to build models in [9, 10] should arise like this.”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, background): “The computation of the chirality of such GUT singlets, which are sensitive to the full details of the global compactification, has largely remained elusive in the ”semi-local” approach to F-theory GUT model building via spectral covers [16, 35].”
Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds (2011, methodology): “There is a very similar story in F-theory, for which we note our Wilson-line argument above also applies, in the case of hypercharge flux doublet-triplet splitting [47–49,51].”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, methodology): “Models utilising a U(1)PQ symmetry to suppress dimension 5 proton decay were studied in [212, 228, 246, 254, 256, 257, 259, 260, 264, 266, 267, 292].”
U(1) symmetries in F-theory GUTs with multiple sections (2012, methodology): “om the most general conguration. This is in contrast to the rich structure of U(1) symmetries and matter spectra that are possible in breaking E 8 !SU(5) which have been used in local model building [13, 14, 15, 16, 17, 18]. Indeed in its local limit, i.e. in the projection to the SU(5) GUT divisor,”