Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs

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

210 citations recorded by the source corpus.

We analyze constraints for embedding local SU(5) F-theory GUTs into consistent compactifications and construct explicit three-generation models based on the geometry of [1]. The key tool for studying constraints in this problem when there is an underlying E_8 structure is the spectral cover, which encodes all of the symmetries that fix the allowed couplings in the superpotential, as well as the consistent, supersymmetric G-fluxes. Imposing phenomenological requirements such as the existence of three generations, top and bottom Yukawa couplings, good flavor structure and absence of exotics and of a tree-level μ-term, we derive stringent constraints on the allowed spectral covers. The resulting spectral covers are in conflict with the neutrino scenarios that have been studied in local F-theory models unless we allow for the possibility of additional charged fields, perhaps playing the role of gauge messengers, that do not comprise complete GUT multiplets. Quite remarkably, the existence of additional incomplete GUT multiplets below the GUT scale is necessary for consistency with gauge coupling "unification", as their effect can precisely cancel that of the internal hypercharge flux, which distorts the gauge couplings already at M_(GUT).

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Citations in the corpus

G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, background): “However, since we are interested here in models with U(1)X symmetry the analogous spectral cover is of the socalled split type [28], [29],[16], generalising the construction of S[U(N)×U(1)] spectral cover bundles from the heterotic string [54–56].”
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors (2013, background): “Finally, let us point out that the above notion of splits agrees with the cases that have been analyzed with the split spectral cover constructions [3, 5, 23, 24] only in the case of a single U(1).”
F-theory fluxes, chirality and Chern-Simons theories (2011, methodology): “the U(1)X restricted model as a global realization of the (4 + 1) split spectral cover model considered in [9, 10].”
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].”
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.”
Compact F-theory GUTs with U(1)PQ (2009, background): “favorable ﬂavor hierarchies [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], and obtaining naturally small neutrino masses [20, 13]. Trying to embed these local models into honest string compactiﬁcations [21, 22, 2, 1], however, has proven to be quite constraining [1]. While there is a topological const”
Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s (2011, background): “ of complete intersections of 2 divisors in X˜ 5 with Y˜4. It would be interesting to study surfaces that do not arise in this way. So-called non-universal ﬂuxes such as those used to build models in [9,10] should arise like this. A study of this type of G-ﬂux was recently undertaken in geometries w”
U(1) symmetries in F-theory GUTs with multiple sections (2012, methodology): “27) are as for the U(1)X spectral cover worked out in [13].”
T-branes and monodromy (2010, methodology): “These counterexamples provide a general way to bypass various constraints on the matter content of F-theory GUTs found in [14,19], which assumed that the spectral equation provides complete information on the localized matter content.”
F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, background): “However, aspects of the physics of U(1)-symmetries can already be studied in local F-theory models employing spectral cover methods [25, 26, 6, 27, 28, 29, 30, 31].”
Global F-theory GUTs (2009, background): “Comparison of (70) with (28) allows us to express the sections bi as [31] b5 = c4, b4 = c3 + c4d0, b3 = c2 + c3d0, b2 = c1 + c2d0, b0 = c0d0 (72)”