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

Masao Jinzenji, Masahide Shimizu

研究成果査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号1450005
ジャーナルInternational Journal of Geometric Methods in Modern Physics
11
1
DOI
出版ステータスPublished - 1月 2014
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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