Aganagic, Mina and Ooguri, Hirosi and Vafa, Cumrun and Yamazaki, Masahito (2011) Wall Crossing and M-Theory. Publications of the Research Institute for Mathematical Sciences, 47 (2). pp. 569-584. ISSN 0034-5318 http://resolver.caltech.edu/CaltechAUTHORS:20111216-141905707
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Abstract
We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. When X has no compact 4-cycles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kähler moduli space.
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| Additional Information: | © 2011 Research Institute for Mathematical Sciences, Kyoto University. This is a contribution to the special issue "The golden jubilee of algebraic analysis". Communicated by M. Kashiwara. Received September 15, 2009. Revised January 7, 20l0. We would like to thank G. Moore, H. Nakajima and K. Nagao for stimulating discussions. M. A. is supported in part by the UC Berkeley Center for Theoretical Physics and the NSF grant PHYS-0457317. H. O. and M. Y. are supported in part by DOE grant DE-FG03-92-ER40701 and by the World Premier International Research Center Initiative of MEXT of Japan. H. O. is also supported in part by a Grant-in-Aid for Scientific Research (C) 20540256 of JSPS and by the Kavli Foundation. C. V. is supported in part by NSF grant PHY-0244821. M. Y. is also supported in part by the JSPS fellowships for Young Scientists and by the Global COE Program for Physical Sciences Frontier at the University of Tokyo. H. O. thanks for the hospitality at the Aspen Center for Physics. C. V. and M. Y. thank Simons Center for Geometry and Physics at Stony Brook for hospitality. | ||||||||||||||||||||
| Group: | Caltech Theory | ||||||||||||||||||||
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| Subject Keywords: | string theory; bound state; Fock space; Calabi-Yau manifold | ||||||||||||||||||||
| Classification Code: | 2010 Mathematics Subject Classification: 14N35 | ||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20111216-141905707 | ||||||||||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20111216-141905707 | ||||||||||||||||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||
| ID Code: | 28495 | ||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||
| Deposited On: | 20 Dec 2011 22:50 | ||||||||||||||||||||
| Last Modified: | 04 Mar 2013 23:34 |
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