Breaking GUT groups in $F$-theory

By R. Donagi, M. Wijnholt. 2008

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We consider the possibility of breaking the GUT group to the StandardModel gauge group in $F$-theory compactifications by turning on certain$U(1)$ fluxes. We show that the requirement of massless hypercharge isequivalent to a topological constraint on the UV completion of the localmodel. The possibility of this mechanism is intrinsic to $F$-theory. Weaddress some of the phenomenological signatures of this scenario. Weshow that our models predict monopoles as in conventional GUT models.We discuss in detail the leading threshold corrections to the gauge kineticterms and their effect on unification. They turn out to be related toRay–Singer torsion. We also discuss the issue of proton decay in $F$-theorymodels and explain how to engineer models which satisfy currentexperimental bounds.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c429995c09299296458cc316a0c1afd7b84e96ee

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Citations in the corpus

Geometric engineering in toric F-theory and GUTs with U(1) gauge factors (2013, background): “e also phenomenologically motivated. Such realizations allow for more exhaustive choices of uxes on the GUT brane as demonstrated in the models of [4, 6]. This applies in particular to hypercharge ux [38, 39, 40] that is non-trivial on the GUT brane but trivial on the entire base manifold. Our const”
GUTs and exceptional branes in F-theory — II. Experimental predictions (2008, background): “After our work appeared, this question has been studied in [28, 29].”
Codimension-3 Singularities and Yukawa Couplings in F-theory (2009, background): “On the other hand, only one type (30)The group SU(7) was already identified in [32].”
Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs (2009, background): “Symmetries that forbid a bare µterm • Structure that favors the existence of ﬂavor hierarchies The issues of GUT-breaking and doublet-triplet splitting have been discussed at length in the literature [4,5]. What we need for this is an internal ﬂux, FY , that threads the Higgs matter curves and is du”
Lectures on F-theory compactifications and model building (2010, methodology): “The use of hypercharge flux was suggested in the context of F-theory model building in [8, 9] and first realised in compact models with 7-branes within perturbative Type IIB orientifolds in [52].”
F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, methodology): “In the remainder of this section we collect the main information on the spectral cover construction for the construction of SU(5) GUT models. For more details see [ 2 , 15, 38, 39].”
The F-theory geometry with most flux vacua (2015, methodology): “An important class of 4-cycles relevant for breaking a given E8 factor are those that carry the “Cartan flux” G = F ∧ ν ∈ H2,2[36, 37, 42].”
F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, background): “ recent years signicant progress has been made on the construction of phenomenologically appealing models of particle physics from F-theory compactications, initiated by the local model approach of [1, 2, 3, 4]. The road to the construction of semi-realistic compact F-theory GUTs models with SU(5) o”
Global F-theory GUTs (2009, methodology): “In the example which we will study intensively in this work we will generate a non-generic dP7 surface in the Fano threefold P(4)[4] by blowing up a singular P(1).”
Higgs Bundles and UV Completion in F-Theory (2009, methodology): “[ 10] = c1 − t, [ 5] = 8c1 − 3t.”
GUTs in Type IIB Orientifold Compactifications (2008, background): “The local model building rules for such F-theory compactifications have been worked out recently in [13,14,15,16,17,18,19]; For recent studies of 7-branes from the F-theory perspective see [20, 21, 22, 23, 24].”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, background): “The reason why this (2)In particular note that the hypercharge Cartan flux used to break SU(5) → SU(3) × SU(2) × U(1)Y as in [4, 5] must be chosen such as not to produce chirality as otherwise U(1)Y would become massive.”