欢迎访问中国科学院大学学报,今天是

中国科学院大学学报 ›› 2011, Vol. 28 ›› Issue (6): 722-727.DOI: 10.7523/j.issn.2095-6134.2011.6.003

• 论文 • 上一篇    下一篇

紧致Calabi-Yau流形模空间上的模形式

孟令显, 杨富中   

  1. 中国科学院研究生院物理科学学院, 北京 100049
  • 收稿日期:2010-04-23 修回日期:2010-09-02 发布日期:2011-11-15
  • 基金资助:

    Supported by the NSFC(11075204), the President Fund of GUCAS(085102BN00) and GUCAS(Y05101CY00)

Modular forms on moduli space of compact Calabi-Yau manifolds

MENG Ling-Xian, YANG Fu-Zhong   

  1. College of Physical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China
  • Received:2010-04-23 Revised:2010-09-02 Published:2011-11-15

摘要:

在紧致的Calabi-Yau流形上,虚部具有确定惯性指数的周期矩阵形成复空间的子空间.在这些子空间上,对辛群Sp(2n,Z)的子群G0发展了模形式理论, 并在具有一个负惯性指标的周期矩阵所形成的空间上给出了推广的Siegel模形式表达式.

关键词: 拓扑弦, 模空间, 模形式

Abstract:

We try to present modular form theory defined on the space formed by the entries of period matrices whose imaginary parts have definite signature on compact Calabi-Yau manifolds for the subgroup G0 of Sp(2n,Z). Then some expressions similar to Siegel modular forms are given on the space of period matrices with one negative inertia index.

Key words: topological string, moduli space, modular forms

中图分类号: