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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. https://resolver.caltech.edu/CaltechAUTHORS:20131111-095649297

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s00220-013-1797-8DOIArticle
http://link.springer.com/article/10.1007%2Fs00220-013-1797-8PublisherArticle
https://arxiv.org/abs/1209.4649arXivDiscussion Paper
ORCID:
AuthorORCID
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
Funders:
Funding AgencyGrant Number
NSFPHY-1066293
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 Professorship UNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)C-23540285
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT68-2885
Issue or Number:1
Record Number:CaltechAUTHORS:20131111-095649297
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131111-095649297
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42350
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:11 Nov 2013 22:54
Last Modified:03 Oct 2019 05:57

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