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Extremal N = (2, 2) 2D Conformal Field Theories and Constraints of Modularity

Gaberdiel, Matthias R. and Gukov, Sergei and Keller, Christoph A. and Moore, Gregory W. and Ooguri, Hirosi (2008) Extremal N = (2, 2) 2D Conformal Field Theories and Constraints of Modularity. Communications in Number Theory and Physics, 2 (4). pp. 743-801. ISSN 1931-4523. https://resolver.caltech.edu/CaltechAUTHORS:20160505-104651886

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Abstract

We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N = (2, 2) 2D CFT’s. We show that such constraints have nontrivial implications for the existence of “extremal” N = (2, 2) conformal field theories. Applications to AdS_3 supergravity and flux compactifications are addressed.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.4310/CNTP.2008.v2.n4.a3DOIArticle
http://arxiv.org/abs/0805.4216arXivDiscussion Paper
ORCID:
AuthorORCID
Gukov, Sergei0000-0002-9486-1762
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 2008 International Press. Received June 17, 2008. We would like to thank C. Vafa for collaboration at an earlier stage of this project. GM would also like to thank M. Douglas for a past collaboration on closely related issues. We would like to thank F.Denef, T. Gannon, S. Kachru, J. Maldacena, J. Manschot, P. Sarnak, and D. Zagier for useful discussions. GM and HO thank the organizers of the 37th Paris Summer Institute on Black Holes, Black Rings and Modular Forms, which stimulated progress in this work. SG acknowledges the hospitality of Institut für Theoretische Physik, ETH Zurich, Institute for Advanced Study, Harvard University, Banff Center, the Aspen Center for Physics, the Simons Workshops in 2005, 2006, and 2007, where part of this work was carried out. HO also thanks the Aspen Center for Physics, the Kavli Institute for Theoretical Physics in Santa Barbara, Harvard University, the Simons Workshops in 2005 and 2006 in Stony Brook, the Banff International Research Station, the University of Tokyo, the Galileo Galilei Institute in Florence, the CERN theory institute, and the Ettore Majorana Centre for scientific Culture in Erice, where part of this work was carried out. The work of MRG and CAK is supported by the Swiss National Science Foundation. GM is supported by DOE grant DE-FG02-96ER40949. The work of SG and HO is supported in part by DOE grant DE-FG03-92-ER40701. The work of SG is also supported in part by NSF Grant DMS-0635607 and by the Alfred P. Sloan Foundation. The work of HO is also supported in part by NSF grant OISE-0403366, by a Grant-in-Aid for Scientific Research (C) 20540256 from the Japan Society for the Promotion of Science, by the 21st Century COE Visiting Professorship at the University of Tokyo, by the World Premier International Research Center Initiative of MEXT of Japan, and by the Kavli Foundation. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Funders:
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)UNSPECIFIED
Department of Energy (DOE)DE-FG02-96ER40949
Department of Energy (DOE)DE-FG03-92-ER40701
NSFDMS-0635607
Alfred P. Sloan FoundationUNSPECIFIED
NSFOISE-0403366
Japan Society for the Promotion of Science (JSPS)20540256
University of TokyoUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Kavli FoundationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT68-2685
Issue or Number:4
Record Number:CaltechAUTHORS:20160505-104651886
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160505-104651886
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66685
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:05 May 2016 22:12
Last Modified:09 Mar 2020 13:18

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