Modular Constraints on Calabi-Yau Compactifications

Christoph A. Keller; Hirosi Ooguri

doi:10.1007/s00220-013-1797-8

Modular Constraints on Calabi-Yau Compactifications

Christoph A. Keller, Hirosi Ooguri

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	107-127
Number of pages	21
Journal	Communications in Mathematical Physics
Volume	324
Issue number	1
DOIs	https://doi.org/10.1007/s00220-013-1797-8
State	Published - Nov 2013
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "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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AB - 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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Modular Constraints on Calabi-Yau Compactifications

Abstract

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