Discrete gauge symmetries by Higgsing in four-dimensional F-theory compactificationsReport as inadecuate




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Journal of High Energy Physics

, 2014:68

First Online: 09 December 2014Received: 10 October 2014Accepted: 14 November 2014 Abstract

We study F-theory compactifications to four dimensions that exhibit discrete gauge symmetries. Geometrically these arise by deforming elliptic fibrations with two sections to a genus-one fibration with a bi-section. From a four-dimensional field theory perspective they are remnant symmetries from a Higgsed U1 gauge symmetry. We implement such symmetries in the presence of an additional SU5 symmetry and associated matter fields, giving a geometric prescription for calculating the induced discrete charge for the matter curves and showing the absence of Yukawa couplings that are forbidden by this charge. We present a detailed map between the field theory and the geometry, including an identification of the Higgs field and the massless states before and after the Higgsing. Finally we show that the Higgsing of the U1 induces a G-flux which precisely accounts for the change in the Calabi-Yau Euler number so as to leave the D3 tadpole invariant.

KeywordsF-Theory Superstring Vacua ArXiv ePrint: 1408.6831

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Author: Christoph Mayrhofer - Eran Palti - Oskar Till - Timo Weigand

Source: https://link.springer.com/







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