Consistently melting crystals
High Energy Physics - Theory
2009-02-05 v1
Abstract
Recently Ooguri and Yamazaki proposed a statistical model of melting crystals to count BPS bound states of certain D-brane configurations on toric Calabi--Yau manifolds [arXiv:0811.2801]. This construction relied on a set of consistency conditions on the corresponding brane tiling, and in this note I show that these conditions are satisfied for any physical brane tiling; they follow from the conformality of the low energy field theory on the D-branes. As a byproduct I also provide a simple direct proof that any physical brane tiling has a perfect matching.
Keywords
Cite
@article{arxiv.0902.0614,
title = {Consistently melting crystals},
author = {Klaus Larjo},
journal= {arXiv preprint arXiv:0902.0614},
year = {2009}
}
Comments
16 pages, 11 figures