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BPS States, Crystals, and Matrices

Sułkowski, Piotr (2011) BPS States, Crystals, and Matrices. Advances in High Energy Physics, 2011 . Art. No. 357016. ISSN 1687-7357.

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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.

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Sułkowski, Piotr0000-0002-6176-6240
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.
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Department of Energy (DOE)DE-FG03-92ER40701FG-02
Marie Curie FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20180427-155708038
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Official Citation:Piotr Sułkowski, “BPS States, Crystals, and Matrices,” Advances in High Energy Physics, vol. 2011, Article ID 357016, 52 pages, 2011. doi:10.1155/2011/357016
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86106
Deposited By: George Porter
Deposited On:30 Apr 2018 16:22
Last Modified:11 Feb 2020 19:26

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