CaltechAUTHORS
Published June 2011 | Version Submitted
Journal Article Open

Wall Crossing and M-Theory

Creators

  • 1. ROR icon University of California, Berkeley
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon Harvard University

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.

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, 2010. 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.

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Additional details

Identifiers

Eprint ID
28495
Resolver ID
CaltechAUTHORS:20111216-141905707

Related works

Describes
https://arxiv.org/abs/0908.1194 (URL)

Funding

UC Berkeley Center for Theoretical Physics
NSF
PHYS-0457317
NSF
PHY-0244821
Ministry of Education, Culture, Sports, Science and Technology (MEXT)
Japan Society for the Promotion of Science (JSPS)
20540256
Kavli Foundation
University of Tokyo
Department of Energy (DOE)
DE-FG03-92-ER40701

Dates

Created
2011-12-20
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Caltech Theory , Mathematics Department
Other Numbering System Name
CALT
Other Numbering System Identifier
68-2746