A Class of N=1 Dual String Pairs and its Modular Superpotential

Details A Class of N=1 Dual String Pairs and its Modular Superpotential A Class of N=1 Dual String Pairs and its Modular Superpotential

1997-02-28

arxiv.org/abs/hep-th/9703007v2

Int.J.Mod.Phys.A12:5847-5866,1997

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Latex

Scientific paper

10.1142/S0217751X97003066

We compare the N=1 F-theory compactification of Donagi, Grassi and Witten with modular superpotential - and some closely related models - to dual heterotic models. We read of the F-theory spectrum from the cohomology of the fourfold and discuss on the heterotic side the gauge bundle moduli sector (including the spectral surface) and the necessary fivebranes. Then we consider the N=1 superpotential and show how a heterotic superpotential matching the F-theory computation is built up by worldsheet instantons. Finally we discuss how the original modular superpotential should be corrected by an additional modular correction factor, which on the F-theory side matches nicely with a `curve counting function' for the del Pezzo surface. On the heterotic side we derive the same factor demanding correct T-duality transformation properties of the superpotential.

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