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New Anomalies in Topological String Theory

Cook, Paul L. H. and Ooguri, Hirosi and Yang, Jie (2009) New Anomalies in Topological String Theory. Progress of Theoretical Physics Supplement, 2009 (177). pp. 120-127. ISSN 0375-9687. https://resolver.caltech.edu/CaltechAUTHORS:20090819-111703735

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Abstract

We show that the topological string partition function with D-branes on a compact Calabi-Yau manifold has new anomalies that spoil the recursive structure of the holomorphic anomaly equation and introduce dependence on wrong moduli (such as complex structure moduli in the A-model), unless the disk one-point functions vanish. This provides a microscopic explanation for the recent result of Walcher in arXiv:0712.2775 on counting of BPS states in M-theory using the topological string partition function. The relevance of vanishing disk one-point functions to large N duality for compact Calabi-Yau manifolds is noted.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1143/PTPS.177.120DOIArticle
http://ptp.ipap.jp/link?PTPS/177/120/PublisherArticle
https://arxiv.org/abs/0804.1120arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 2008 Progress of Theoretical Physics. We thank M. Aganagic, E. Getzler, T. Graber, K. Hori, C. Vafa, K. Vyas and J. Walcher for useful discussions. H.O. thanks T. Eguchi for introducing him to the beautiful area of mathematical physics and for many enjoyable collaborations. This research is supported in part by DOE grant DE-FG03-92-ER40701. H.O. is also supported in part by the Kavli Foundation and by the World Premier International Research Center Initiative of MEXT of Japan.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Kavli FoundationUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Subject Keywords:string theory
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT68-2672
Series Name:Progress of Theoretical Physics Supplement
Issue or Number:177
Record Number:CaltechAUTHORS:20090819-111703735
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20090819-111703735
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15169
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:20 Aug 2009 21:10
Last Modified:03 Oct 2019 00:55

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