High U(1) charges in type IIB models and their F-theory lift

Cianci, Francesco Mattia; Pena, Damian Kaloni Mayorga; Valandro, Roberto

doi:10.48550/arxiv.1811.11777

Cited by 14 publications

(17 citation statements)

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“…Genusone fibrations do not necessarily admit a global section; there are situations in which they have a global section, and those in which they do not. F-theory compactifications on elliptic fibrations with a global section have been investigated in recent studies, for example, in [86,87,88,89,90,91,92,93,94,95,96,97,98,21,99,100,101,102,103,104,105,106,107,108,109,110,111]. Although Calabi-Yau genus-one fibration lacking a global section cannot be expressed in the Weierstrass form, when the Jacobian fibration of it exists, the Jacobian fibration yields an elliptic fibration with a global section.…”

Section: Review Of F-theory Compactificationsmentioning

confidence: 99%

Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

Kimura

2019

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Eight-dimensional non-geometric heterotic strings with gauge algebra e 8 e 7 were constructed by Malmendier and Morrison as heterotic duals of F-theory on K3 surfaces with Λ 1,1 ⊕ E 8 ⊕ E 7 lattice polarization. Clingher, Malmendier and Shaska extended these constructions to eight-dimensional non-geometric heterotic strings with gauge algebra e 7 e 7 as heterotic duals of F-theory on Λ 1,1 ⊕ E 7 ⊕ E 7 lattice polarized K3 surfaces.In this study, we analyze the points in the moduli of non-geometric heterotic strings with gauge algebra e 7 e 7 , at which the non-Abelian gauge groups on the F-theory side are maximally enhanced. The gauge groups on the heterotic side do not allow for the perturbative interpretation at these points. We show that these theories can be described as deformations of the stable degenerations, as a result of coincident 7-branes on the F-theory side. From the heterotic viewpoint, this effect corresponds to the insertion of 5-branes. These effects can be used to understand nonperturbative aspects of nongeometric heterotic strings.Additionally, we build a family of elliptic Calabi-Yau 3-folds by fibering elliptic K3 surfaces, which belong to the F-theory side of the moduli of non-geometric heterotic strings with gauge algebra e 7 e 7 , over P 1 . We find that highly enhanced gauge symmetries arise on F-theory on the built elliptic Calabi-Yau 3-folds.

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Section: Review Of F-theory Compactificationsmentioning

confidence: 99%

Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

Kimura

2019

Preprint

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“…F-theory models compactified on elliptic fibrations with a global section have been studied in the literature, e.g., in [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31]. The number of U (1) factors is identified with the rank of the group generated by the set of global sections [3], which is known as the "Mordell-Weil group," and the rank of this group is positive when there are two or more independent sections.…”

Section: Introductionmentioning

confidence: 99%

A note on transition in discrete gauge groups in F-theory

Kimura

2019

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We observe a new puzzling physical phenomenon in F-theory on the multisection geometry, wherein a model without a gauge group transitions to another model with a discrete Z n gauge group via Higgsing. This phenomenon may suggest an unknown aspect of F-theory compactification on multisection geometry lacking a global section. A possible interpretation of this puzzling physical phenomenon is proposed in this note. We also propose a possible interpretation of another unnatural physical phenomenon observed for F-theory on four-section geometry, wherein a discrete Z 2 gauge group transitions to a discrete Z 4 gauge group via Higgsing as described in the previous literature. These phenomena may suggest that a (discrete) gauge group is enhanced when a multisection splits into multisections of smaller degrees, and/or it splits into a global section and a multisection of smaller degree, in the moduli of multisection geometry.

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“…The rank of the Mordell-Weil group of an elliptic fibration, in the context of physics, is related to the U(1) gauge group; the rank yields the number of U(1) factors formed in F-theory on that elliptic fibration [3]. F-theory models on elliptic fibrations having a global section have been intensively studied, e.g., in [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40]. U(1) gauge symmetry 1 has also been investigated in F-theory.…”

Section: Introductionmentioning

confidence: 99%

Extremal 1/2 Calabi-Yau 3-folds and six-dimensional F-theory applications

Kimura

2020

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We discuss a method for classifying the singularity types of 1/2 Calabi-Yau 3-folds, a family of rational elliptic 3-folds introduced in a previous study in relation to various U(1) factors in 6D F-theory models. A projective dual pair of del Pezzo manifolds recently studied by Mukai is used to analyze the singularity types. In particular, we studied the maximal rank seven singularity types of 1/2 Calabi-Yau 3-folds. The structures of the singular fibers are analyzed using blow-ups. Double covers of the 1/2 Calabi-Yau 3-folds yield elliptic Calabi-Yau 3-folds and applications to six-dimensional N = 1 Ftheory on the Calabi-Yau 3-folds are also discussed. The deduced singular fibers have applications in studying the gauge groups formed in 6D F-theory compactifications. The blow-up methods used to analyze the singular fibers and sections utilized in this research might have applications in studying the U(1) factors and hypermultiplets charged under U(1) in 6D F-theory.

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High U(1) charges in type IIB models and their F-theory lift

Cited by 14 publications

References 0 publications

Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

A note on transition in discrete gauge groups in F-theory

Extremal 1/2 Calabi-Yau 3-folds and six-dimensional F-theory applications

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