N=1 Dual String Pairs and their Massless Spectra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, latex, some references corrected

Scientific paper

10.1016/S0550-3213(97)00554-3

We construct two chains of fourdimensional F-theory/heterotic dual string pairs with N=1 supersymmetry. On the F-theory side as well as on the heterotic side the geometry of the involved manifolds relies on del Pezzo surfaces. We match the massless spectra by using, for one chain of models, an index formula to count the heterotic bundle moduli and determine the dual F-theory spectra from the Hodge numbers of the fourfolds $X^4$ and of the type IIB base spaces.

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