Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-02-28
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.
Curio Gottfried
Lust Dieter
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