F-theory models with 3 to 8 U(1) factors on K3 surfaces

Abstract

In this study, we construct four-dimensional F-theory models with 3 to 8 U(1) factors on products of K3 surfaces. We provide explicit Weierstrass equations of elliptic K3 surfaces with Mordell-Weil ranks of 3 to 8. We utilize the method of quadratic base change to glue pairs of rational elliptic surfaces together to yield the aforementioned types of K3 surfaces. The moduli of elliptic K3 surfaces constructed in the study include Kummer surfaces of specific complex structures. We show that the tadpole cancels in F-theory compactifications with flux when these Kummer surfaces are paired with appropriately selected attractive K3 surfaces. We determine the matter spectra on F-theory on the pairs.

34 pages

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Cited by in corpus (6)

• Discrete gauge groups in certain F-theory models in six dimensions
• Orders of Vanishing and U(1) Charges in F-theory
• Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds
• Extremal 1/2 Calabi-Yau 3-folds and six-dimensional F-theory applications
• Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory
• $\frac{1}{2}$Calabi-Yau 4-folds and four-dimensional F-theory on Calabi-Yau 4-folds with U(1) factors