Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-11
Mod.Phys.Lett.A11:2199-2212,1996
Physics
High Energy Physics
High Energy Physics - Theory
Additional references and clarifications. Latex, 10 pages
Scientific paper
10.1142/S0217732396002198
We compute the non-perturbative superpotential in $F$-theory compactification
to four dimensions on a complex three-fold $\P^1\times S$, where $S$ is a
rational elliptic surface. In contrast to examples considered previously, the
superpotential in this case has interesting modular properties; it is
essentially an $E_8$ theta function.
Donagi Ron
Grassi Alessandra
Witten Edward
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