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Modular Constraints on Calabi-Yau Compactifications

Keller, Christoph A. and Ooguri, Hirosi (2013) Modular Constraints on Calabi-Yau Compactifications. Communications in Mathematical Physics, 324 (1). pp. 107-127. ISSN 0010-3616. doi:10.1007/s00220-013-1797-8.

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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.

Item Type:Article
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Keller, Christoph A.0000-0003-2592-2012
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© Springer-Verlag Berlin Heidelberg. Received: 18 October 2012; Accepted: 28 January 2013. We thank T. Eguchi, M. Freedman, M. Gaberdiel, S. Hellerman, C. Schmidt-Colinet, W. Taylor, C. Vafa and S.-T. Yau for useful discussions. We thank D. Friedan and T. Hübsch for their comments on the earlier version of the paper. We thank the hospitality of the Aspen Center for Physics (NSF grant 1066293) and the Simons Center for Geometry and Physics. This work is supported in part by U.S. DOE grant DE-FG03-92-ER40701. The work of CAK is also supported in part by the John A. McCone Postdoctoral Fellowship at Caltech and U.S. DOE grant DE-FG02-96ER40959. The work of HO is also supported in part by a Simons Investigator award from the Simons Foundation, the Fred Kavli Professorship at Caltech, and by the WPI Initiative of MEXT of Japan and JSPS Grant-in-Aid for Scientific Research C-23540285.
Group:Caltech Theory
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Department of Energy (DOE)DE-FG03-92-ER40701
John A. McCone Postdoctoral FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG02-96ER40959
Simons FoundationUNSPECIFIED
Caltech Fred Kavli ProfessorshipUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)C-23540285
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Record Number:CaltechAUTHORS:20131111-095649297
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ID Code:42350
Deposited On:11 Nov 2013 22:54
Last Modified:10 Nov 2021 16:22

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