Open virtual structure constants and mirror computation of open gromov-witten invariants of projective hypersurfaces

Masao Jinzenji, Masahide Shimizu

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper, we generalize Walcher's computation of the open Gromov-Witten invariants of the quintic hypersurface to Fano and Calabi-Yau projective hypersurfaces. Our main tool is the open virtual structure constants. We also propose the generalized mirror transformation for the open Gromov-Witten invariants, some parts of which are proven explicitly. We also discuss possible modification of the multiple covering formula for the case of higher-dimensional Calabi-Yau manifolds. The generalized disk invariants for some Calabi-Yau and Fano manifolds are shown and they are certainly integers after resummation by the modified multiple covering formula. This paper also contains the direct integration method of the period integrals for higher-dimensional Calabi-Yau hypersurfaces in the Appendix.

Original languageEnglish
Article number1450005
JournalInternational Journal of Geometric Methods in Modern Physics
Volume11
Issue number1
DOIs
Publication statusPublished - Jan 2014
Externally publishedYes

Keywords

  • Mirror symmetry
  • open Gromov-Witten invariants
  • projective hypersurface

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint

Dive into the research topics of 'Open virtual structure constants and mirror computation of open gromov-witten invariants of projective hypersurfaces'. Together they form a unique fingerprint.

Cite this