Mirror maps, modular relations and hypergeometric series II

Bong H Lian Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43506

Nuclear Physics B-Proceedings Supplements, 46, 248-262, 1996.3
As a continuation of [1], we study modular properties of the periods, the mirror maps and Yukawa couplings for multi-moduli Calabi-Yau varieties. In Part A of this paper, motivated by the recent work of Kachru-Vafa, we degenerate a three-moduli family of Calabi-Yau toric varieties along a codimension one subfamily which can be described by the vanishing of certain Mori coordinate, corresponding to going to the large volume limit in a certain direction. Then we see that the deformation space of the subfamily is the same as a certain family of K3 toric surfaces. This family can in turn be studied by further degeneration along a subfamily which in the end is described by a family of elliptic curves. The periods of the K3 family (and hence the original Calabi-Yau family) can be described by the squares of the periods of the elliptic curves. The consequences include: (1) proofs of various conjectural formulas of physicists [2
No keywords uploaded!
[ Download ] [ 2019-12-24 20:37:01 uploaded by yaust ] [ 460 downloads ] [ 0 comments ]
@inproceedings{bong1996mirror,
  title={Mirror maps, modular relations and hypergeometric series II},
  author={Bong H Lian, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203701515669070},
  booktitle={Nuclear Physics B-Proceedings Supplements},
  volume={46},
  pages={248-262},
  year={1996},
}
Bong H Lian, and Shing-Tung Yau. Mirror maps, modular relations and hypergeometric series II. 1996. Vol. 46. In Nuclear Physics B-Proceedings Supplements. pp.248-262. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203701515669070.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved