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. doi:10.4310/CNTP.2008.v2.n4.a3. 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.
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| 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. | ||||||||||||||||||||||
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| Issue or Number: | 4 | ||||||||||||||||||||||
| DOI: | 10.4310/CNTP.2008.v2.n4.a3 | ||||||||||||||||||||||
| 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: | 11 Nov 2021 00:01 |
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