NS5-Branes and Line Bundles in Heterotic/F-Theory Duality

Abstract

We study F-theory duals of heterotic line bundle models on elliptically fibered Calabi-Yau threefolds. These models necessarily contain NS5-branes which are geometrised in the dual F-theory compactifications. We initiate a systematic study of the correspondence between various configurations of NS5-branes and the dual geometries in F-theory and perform several checks of the duality. Furthermore, we discuss the singular transitions between different configurations of NS5-branes.

arXiv comment51 pages, 16 figures

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• Non-Simply-Connected Symmetries in 6D SCFTs
• M/F-Theory as Mf-Theory
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• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions