Global SO(10) F-theory GUTs

110

348

F-theory compactified on a Calabi-Yau fourfold naturally describes nonAbelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their inherently global nature. We argue that in general F-theory compactifications there are massive Abelian symmetries, such as the uplift of the Abelian part of the U(N ) gauge group on D7-branes, that arise from non-Kähler resolutions of the dual M-theory setup. The four-dimensional F-theory vacuum with vanishing expectation values for the gauge fields corresponds to the Calabi-Yau limit. We propose that fluxes that are turned on along these U(1)s are uplifted to non-harmonic four-form fluxes. We derive the effective four-dimensional gauged supergravity resulting from F-theory compactifications in the presence of the Abelian gauge factors including the effects of possible fluxes on the gauging, tadpoles and matter spectrum.

Section: Jhep12(2011)004mentioning

confidence: 99%

Section: Jhep12(2011)004mentioning

confidence: 99%

Massive Abelian gauge symmetries and fluxes in F-theory

Grimm

Kerstan

Palti

et al. 2011

110

348

“…While SO(10) cannot be realized through a non-Higgsable cluster, a divisor with a non-Higgsable type I * 0 singularity (or a type III or IV singularity) could be enhanced to SO (10), and in principle this group could be broken down to SU (3)×SU (2) in such a way that part of the gauge group was still non-Higgsable. Approaches to GUT constructions using approach i) have been extensively studied in the literature, beginning with [56][57][58], and extending to global constructions [59][60][61][62][63]; for reviews see [7,8]. In much of this work, internal flux on the sevenbranes is the mechanism used for GUT breaking, so while these investigations have mostly focused on constructions of type i), an extension to include non-Higgsable structures within SO(10) or E 6 models may be natural.…”

Section: B Check For Non-higgsable Clustersmentioning

confidence: 99%

Non-Higgsable QCD and the standard model spectrum in F-theory

Grassi

Halverson

Shaneson

et al. 2015

109

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of SU(3), SU(2), and SU(3) × SU(2), but no SU(n) gauge groups or factors with n > 3. We study possible realizations of the standard model in F-theory that utilize non-Higgsable clusters containing SU(3) factors and show that there are three distinct possibilities. In one, fields with the non-abelian gauge charges of the standard model matter fields are localized at a single locus where non-perturbative SU(3) and SU(2) seven-branes intersect; cancellation of gauge anomalies implies that the simplest four-dimensional chiral SU(3) × SU(2) × U(1) model that may arise in this context exhibits standard model families. We identify specific geometries that realize non-Higgsable SU(3) and SU(3) × SU(2) sectors. This kind of scenario provides a natural mechanism that could explain the existence of an unbroken QCD sector, or more generally the appearance of light particles and symmetries at low energy scales.

“…In terms of potentially phenomenologically relevant gauge groups, we have found that many F-theory geometries contain geometric SU (2) and/or SU (3) factors that cannot be enhanced to SU (5), but that can for example be enhanced to SO(10), E 6 , or E 7 . Much work has been done in constructing phenomenologically oriented F-theory models based on an SU (5) unification structure (see [146][147][148] for a review of some of this work, and [33,[149][150][151][152][153] for some specific global GUT models). It would be interesting to study more broadly how the generic gauge group structures that we have explored here might play into more general model building approaches, perhaps in the context of GUT groups other than SU (5).…”

Section: Detailed Physics Of Smooth Heterotic/f-theory Dual Pairsmentioning

confidence: 99%

Geometric constraints in dual F-theory and heterotic string compactifications

Anderson

Taylor

2014

129

We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete classification of models where the heterotic theory is compactified on a smooth Calabi-Yau threefold that is elliptically fibered with a single section and carries smooth irreducible vector bundles, and the dual F-theory model has a corresponding threefold base that has the form of a P 1 bundle. We formulate simple conditions for the geometry on the F-theory side to support an elliptically fibered Calabi-Yau fourfold. We match these conditions with conditions for the existence of stable vector bundles on the heterotic side, and show that F-theory gives new insight into the conditions under which such bundles can be constructed. In particular, we find that many allowed F-theory models correspond to vector bundles on the heterotic side with exceptional structure groups, and determine a topological condition that is only satisfied for bundles of this type. We show that in many cases the F-theory geometry imposes a constraint on the extent to which the gauge group can be enhanced, corresponding to limits on the way in which the heterotic bundle can decompose. We explicitly construct all (4962) F-theory threefold bases for dual F-theory/heterotic constructions in the subset of models where the common twofold base surface is toric, and give both toric and non-toric examples of the general results.