MODULI SPACE OF CALABI-YAU MANIFOLDS

被引:390
作者
CANDELAS, P
DELAOSSA, XC
机构
[1] Theory Group, Department of Physics, The University of Texas, Austin
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(91)90122-E
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We present an accessible account of the local geometry of the parameter space of Calabi-Yau manifolds. It is shown that the parameter space decomposes, at least locally, into a product with the space of parameters of the complex structure as one factor and a complex extension of the parameter space of the Kahler class as the other. It is also shown that each of these spaces is itself a Kahler manifold and is moreover a Kahler manifold of restricted type. There is a remarkable symmetry in the intrinsic structures of the two parameter spaces and the relevance of this to the conjectured existence of mirror manifolds is discussed. The two parameter spaces behave differently with respect to modular transformations and it is argued that the role of quantum corrections is to restore the symmetry between the two types of parameters so as to enforce modular invariance.
引用
收藏
页码:455 / 481
页数:27
相关论文
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