Counting Curves with Modular Forms

Details Counting Curves with Modular Forms Counting Curves with Modular Forms

1996-02-27

arxiv.org/abs/hep-th/9602154v2

Nucl.Phys. B472 (1996) 518-528

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes, added references, 12 pages, uses harvmac

Scientific paper

10.1016/0550-3213(96)00245-3

We consider the type IIA string compactified on the Calabi-Yau space given by a degree 12 hypersurface in the weighted projective space ${\bf P}^4_{(1, 1, 2,2, 6)}$. We express the prepotential of the low-energy effective supergravity theory in terms of a set of functions that transform covariantly under $PSL(2, \IZ)$ modular transformations. These functions are then determined by monodromy properties, by singularities at the massless monopole point of the moduli space, and by $S \leftrightarrow T$ exchange symmetry.

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