A relation between moduli space of D-branes on orbifolds and Ising model
High Energy Physics - Theory
2010-02-03 v1
Abstract
We study D-branes transverse to an abelian orbifold C^3/Z_n Z_n. The moduli space of the gauge theory on the D-branes is analyzed by combinatorial calculation based on toric geometry. It is shown that the calculation is related to a problemto count the number of ground states of an antiferromagnetic Ising model. The lattice on which the Ising model is defined is a triangular one defined on the McKay quiver of the orbifold.
Cite
@article{arxiv.hep-th/0508248,
title = {A relation between moduli space of D-branes on orbifolds and Ising model},
author = {Tomomi Muto},
journal= {arXiv preprint arXiv:hep-th/0508248},
year = {2010}
}
Comments
20 pages, 13 figures