Crystal melting on toric surfaces
High Energy Physics - Theory
2015-05-14 v2 Algebraic Geometry
Abstract
We study the relationship between the statistical mechanics of crystal melting and instanton counting in N=4 supersymmetric U(1) gauge theory on toric surfaces. We argue that, in contrast to their six-dimensional cousins, the two problems are related but not identical. We develop a vertex formalism for the crystal partition function, which calculates a generating function for the dimension 0 and 1 subschemes of the toric surface, and describe the modifications required to obtain the corresponding gauge theory partition function.
Keywords
Cite
@article{arxiv.0912.0737,
title = {Crystal melting on toric surfaces},
author = {Michele Cirafici and Amir-Kian Kashani-Poor and Richard J. Szabo},
journal= {arXiv preprint arXiv:0912.0737},
year = {2015}
}
Comments
30 pages; v2: references added