Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line

Details Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line

1996-08-22

arxiv.org/abs/hep-th/9608154v2

Nucl.Phys.B491:147-183,1997

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, LaTeX, revised version contains additional references

Scientific paper

10.1016/S0550-3213(97)00047-3

We consider a class of four parameter D=4, N=2 string models, namely heterotic strings compactified on K3 times T2 together with their dual type II partners on Calabi-Yau three-folds. With the help of generalized modular forms (such as Siegel and Jacobi forms), we compute the perturbative prepotential and the perturbative Wilsonian gravitational coupling F1 for each of the models in this class. We check heterotic/type II duality for one of the models by relating the modular forms in the heterotic description to the known instanton numbers in the type II description. We comment on the relation of our results to recent proposals for closely related models.

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