Published 2011
| Version Published
Journal Article
Open
BPS States, Crystals, and Matrices
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Abstract
We review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2- and D0-branes bound to a D6-brane, as well as open BPS states involving open D2-branes ending on an additional D4-brane. Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes.
Additional Information
© 2011 Piotr Sułkowski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Received 14 May 2011; Accepted 19 June 2011. The author thanks Robbert Dijkgraaf, Hirosi Ooguri, Cumrun Vafa, and Masahito Yamazaki for discussions and collaboration on related projects. This research was supported by the DOE Grant DE-FG03-92ER40701FG-02 and the European Commission under the Marie-Curie International Outgoing Fellowship Programme. The contents of this publication reflect only the views of the author and not the views of the funding agencies.Attached Files
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Identifiers
- Eprint ID
- 86106
- Resolver ID
- CaltechAUTHORS:20180427-155708038
Funding
- Department of Energy (DOE)
- DE-FG03-92ER40701FG-02
- Marie Curie Fellowship
Dates
- Created
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2018-04-30Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field