Counting curves with modular forms

Måns Henningson, Gregory Moore

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)518-528
Number of pages11
JournalNuclear Physics B
Volume472
Issue number3
DOIs
StatePublished - Jul 29 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Modular forms
  • Non-perturbative techniques
  • String compactification

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