BPS states, crystals and matrices
High Energy Physics - Theory
2012-07-13 v2
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.
Cite
@article{arxiv.1106.4873,
title = {BPS states, crystals and matrices},
author = {Piotr Sułkowski},
journal= {arXiv preprint arXiv:1106.4873},
year = {2012}
}
Comments
67 pages, 20 figures; references added