MULTIPLE MIRROR MANIFOLDS AND TOPOLOGY CHANGE IN STRING THEORY

被引:100
作者
ASPINWALL, PS [1 ]
GREENE, BR [1 ]
MORRISON, DR [1 ]
机构
[1] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540
基金
美国国家科学基金会;
关键词
D O I
10.1016/0370-2693(93)91428-P
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We use mirror symmetry to establish the first concrete arena of spacetime topology change in string theory. In particular, we establish that the quantum theories based on certain nonlinear sigma models with topologically distinct target spaces can be smoothly connected even though classically a physical singularity would be encountered. We accomplish this by rephrasing the description of these nonlinear sigma models in terms of their mirror manifold partners - a description in which the full quantum theory can be described exactly using lowest order geometrical methods. We establish that, for the known class of mirror manifolds, the moduli space of the corresponding conformal field theory requires not just two but numerous topologically distinct Calabi-Yau manifolds for its geometric interpretation. A single family of continuously connected conformal theories thereby probes a host of topologically distinct geometrical spaces giving rise to multiple mirror manifolds.
引用
收藏
页码:249 / 259
页数:11
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