String Duality and Modular Forms

Details String Duality and Modular Forms String Duality and Modular Forms

1996-07-10

arxiv.org/abs/hep-th/9607078v3

Phys.Lett. B397 (1997) 51-62

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX 2.09

Scientific paper

10.1016/S0370-2693(97)00146-9

Tests of duality between heterotic strings on $K3\times T^2$ (restricted on certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau threefolds are attempted in the weak coupling regime on the heterotic side by identifying pertinent modular forms related to the computations of string threshold corrections. Concretely we discuss in parallel the three cases associated with Calabi-Yau manifolds $(A):X(6,2,2,1,1)_{2}^{-252}$, $(B):X(12,8,2,1,1)_{3}^{-480}$ and $(C):X(10,3,3,2,2)_{4}^{-132}$ on the type IIA side.

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