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 <a href="/abs/0811.2801">arXiv:0811.2801</a>. 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.
%0 Journal Article
%1 citeulike:4017265
%A Larjo, Klaus
%D 2009
%K crystals, superstrings
%T Consistently melting crystals
%U http://arxiv.org/abs/0902.0614
%X 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 <a href="/abs/0811.2801">arXiv:0811.2801</a>. 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.
@article{citeulike:4017265,
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 [<a href="/abs/0811.2801">arXiv:0811.2801</a>]. 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.},
added-at = {2009-02-18T14:54:47.000+0100},
author = {Larjo, Klaus},
biburl = {https://www.bibsonomy.org/bibtex/2d11489258ea17edb1d71673a05bf4a33/janpaniev},
citeulike-article-id = {4017265},
eprint = {0902.0614},
interhash = {3e06273705c491d4669c667ae4b17a5a},
intrahash = {d11489258ea17edb1d71673a05bf4a33},
keywords = {crystals, superstrings},
month = Feb,
posted-at = {2009-02-06 19:08:13},
priority = {2},
timestamp = {2009-02-18T14:54:49.000+0100},
title = {Consistently melting crystals},
url = {http://arxiv.org/abs/0902.0614},
year = 2009
}