Modular Constraints on Calabi-Yau Compactifications

被引：39

作者：

Keller, Christoph A. ^{[1
]}

Ooguri, Hirosi ^{[1
,2
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Tokyo, Kavli IPMU WPI, Kashiwa, Chiba 2778583, Japan

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 324卷 / 01期

关键词：

SUPERCONFORMAL ALGEBRA; STRING COMPACTIFICATION; CHARACTER FORMULAS; MANIFOLDS;

D O I：

10.1007/s00220-013-1797-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold. When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656. Moreover, the number of such primary states grows at least linearly in the total Hodge number. We discuss implications of these results for Calabi-Yau geometry.

引用

页码：107 / 127

页数：21

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