Mirror Symmetry for Hypersurfaces in Weighted Projective Space and Topological Couplings

Abstract

By means of toric geometry we study hypersurfaces in weighted projective space of dimension four. In particular we compute for a given manifold its intrinsic topological coupling. We find that the result agrees with the calculation of the corresponding coupling on the mirror model in the large complex structure limit.

28p, use harvmac. A new derivation of the Yukawa coupling in the large complex structure limit has been added to section 5.2

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Cited by in corpus (13)

• Mirror Symmetry for Two Parameter Models -- II
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• On Gauge Couplings in String Theory
• Enumerating Flux Vacua with Enhanced Symmetries
• Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory
• Holomorphic Couplings in String Theory
• Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
• Mirror Symmetry and the Moduli Space for Generic Hypersurfaces in Toric Varieties
• Multiple Mellin-Barnes Integrals as Periods of Calabi-Yau Manifolds With Several Moduli
• String-dual $F_1$-Function in the Three Parameter Model
• Enhanced Symmetries in Multiparameter Flux Vacua
• Topological Strings on Elliptic Fibrations
• Scaling Behavior in String Theory