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• W2996289582 abstract "We present a novel technique to obtain base independent expressions for the matter loci of fibrations of complete intersection Calabi-Yau onefolds in toric ambient spaces. These can be used to systematically construct elliptically and genus one fibered Calabi-Yau $d$-folds that lead to desired gauge groups and spectra in F-theory. The technique, which we refer to as GV-spectroscopy, is based on the calculation of fiber Gopakumar-Vafa invariants using the Batyrev-Borisov construction of mirror pairs and application of the so-called Frobenius method to the data of a parametrized auxiliary polytope. In particular for fibers that generically lead to multiple sections, only multi-sections or that are complete intersections in higher codimension, our technique is vastly more efficient than classical approaches. As an application we study two Higgs chains of six-dimensional supergravities that are engineered by fibrations of codimension two complete intersection fibers. Both chains end on a vacuum with $G=mathbb{Z}_4$ that is engineered by fibrations of bi-quadrics in $mathbb{P}^3$. We use the detailed knowledge of the structure of the reducible fibers that we obtain from GV-spectroscopy to comment on the corresponding Tate-Shafarevich group. We also show that for all fibers the six-dimensional supergravity anomalies including the discrete anomalies generically cancel." @default.
• W2996289582 created "2019-12-26" @default.
• W2996289582 creator A5068850148 @default.
• W2996289582 creator A5082751227 @default.
• W2996289582 date "2019-12-19" @default.
• W2996289582 modified "2023-09-27" @default.
• W2996289582 title "GV-Spectroscopy for F-theory on genus-one fibrations." @default.
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• W2996289582 hasPublicationYear "2019" @default.
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