BPS states, crystals and matrices

Details BPS states, crystals and matrices BPS states, crystals and matrices

2011-06-24

arxiv.org/abs/1106.4873v1

Advances in High Energy Physics (2011) 357016

Physics

High Energy Physics

High Energy Physics - Theory

67 pages, 20 figures; review article, to appear in the special issue "Computational Algebraic Geometry in String and Gauge The

Scientific paper

10.1155/2011/357016

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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