Mirror symmetry for two-parameter models - II

Philip Candelas, Anamaría Font, sheldon Katz, David R. Morrison

Research output: Contribution to journalArticlepeer-review


We describe in detail the space of the two Kähler parameters of the Calabi-Yau manifold P4(1,1,1,6,9)[18] by exploiting mirror symmetry. The large complex structure limit of the mirror, which corresponds to the classical large radius limit, is found by studying the monodromy of the periods about the discriminant locus, the boundary of the moduli space corresponding to singular Calabi-Yau manifolds. A symplectic basis of periods is found and the action of the Sp(6, Z) generators of the modular group is determined. From the mirror map we compute the instanton expansion of the Yukawa couplings and thes genralized N = 2 index, arriving at them numbers of instantons of genus zero and genus one of each bidegree. We find that these numbers can be negative, even in genus zero. We also investigate an SL(2, Z) symmetry that acts on a boundary of the moduli space.

Original languageEnglish (US)
Pages (from-to)626-674
Number of pages49
JournalNuclear Physics, Section B
Issue number3
StatePublished - Nov 7 1994
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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