BPS States, Crystals, and Matrices

Author:

Sułkowski Piotr12

Affiliation:

1. California Institute of Technology, Pasadena, CA 91125, USA

2. Faculty of Physics, University of Warsaw, ul. Hoża 69, 00-681 Warsaw, Poland

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.

Funder

U.S. Department of Energy

Publisher

Hindawi Limited

Subject

Nuclear and High Energy Physics

Reference67 articles.

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