Counting curves with modular forms

Måns Henningson; Gregory Moore

doi:10.1016/0550-3213(96)00245-3

Counting curves with modular forms

Måns Henningson, Gregory Moore

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We consider the type IIA string compactified on the Calabi-Yau space given by a degree 12 hypersurface in the weighted projective space P⁴_(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,ℤ) modular transformations. These functions are then determined by monodromy properties, by singularities at the massless monopole point of the moduli space, and by S ↔ T exchange symmetry. PACS: 11.25.Mj.

Original language	English (US)
Pages (from-to)	518-528
Number of pages	11
Journal	Nuclear Physics B
Volume	472
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(96)00245-3
State	Published - Jul 29 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Modular forms
Non-perturbative techniques
String compactification

Access to Document

10.1016/0550-3213(96)00245-3

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abstract = "We consider the type IIA string compactified on the Calabi-Yau space given by a degree 12 hypersurface in the weighted projective space P4(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,ℤ) modular transformations. These functions are then determined by monodromy properties, by singularities at the massless monopole point of the moduli space, and by S ↔ T exchange symmetry. PACS: 11.25.Mj.",

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AU - Moore, Gregory

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N2 - We consider the type IIA string compactified on the Calabi-Yau space given by a degree 12 hypersurface in the weighted projective space P4(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,ℤ) modular transformations. These functions are then determined by monodromy properties, by singularities at the massless monopole point of the moduli space, and by S ↔ T exchange symmetry. PACS: 11.25.Mj.

AB - We consider the type IIA string compactified on the Calabi-Yau space given by a degree 12 hypersurface in the weighted projective space P4(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,ℤ) modular transformations. These functions are then determined by monodromy properties, by singularities at the massless monopole point of the moduli space, and by S ↔ T exchange symmetry. PACS: 11.25.Mj.

KW - Modular forms

KW - Non-perturbative techniques

KW - String compactification

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