期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 324, 期 1, 页码 107-127出版社
SPRINGER
DOI: 10.1007/s00220-013-1797-8
关键词
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资金
- NSF [1066293]
- U.S. DOE [DE-FG03-92-ER40701, DE-FG02-96ER40959]
- Caltech
- Simons Foundation
- WPI Initiative of MEXT of Japan
- JSPS [C-23540285]
- Grants-in-Aid for Scientific Research [23540285] Funding Source: KAKEN
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.
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