Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 324, Issue 1, Pages 107-127Publisher
SPRINGER
DOI: 10.1007/s00220-013-1797-8
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Funding
- 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
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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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