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Title: BPS States, Crystals, and Matrices

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.
Authors:
 [1]
  1. California Institute of Technology, Pasadena, CA 91125, USA, Faculty of Physics, University of Warsaw, ul. Hoża 69, 00-681 Warsaw, Poland
Publication Date:
OSTI Identifier:
1197931
Grant/Contract Number:
FG03-92ER40701FG-02
Type:
Published Article
Journal Name:
Advances in High Energy Physics
Additional Journal Information:
Journal Volume: 2011; Related Information: CHORUS Timestamp: 2016-08-18 12:51:11; Journal ID: ISSN 1687-7357
Publisher:
Hindawi Publishing Corporation
Sponsoring Org:
USDOE
Country of Publication:
Egypt
Language:
English