Integrable Structure of $5d$ $\mathcal{N}=1$ Supersymmetric Yang-Mills and Melting Crystal
High Energy Physics - Theory
2008-11-26 v1
Abstract
We study loop operators of SYM in background. For the case of U(1) theory, the generating function of correlation functions of the loop operators reproduces the partition function of melting crystal model with external potential. We argue the common integrable structure of SYM and melting crystal model.
Keywords
Cite
@article{arxiv.0806.3675,
title = {Integrable Structure of $5d$ $\mathcal{N}=1$ Supersymmetric Yang-Mills and Melting Crystal},
author = {Toshio Nakatsu and Yui Noma and Kanehisa Takasaki},
journal= {arXiv preprint arXiv:0806.3675},
year = {2008}
}
Comments
12 pages, 1 figure, based on an invited talk presented at the international workshop "Progress of String Theory and Quantum Field Theory" (Osaka City University, December 7-10, 2007), to be published in the proceedings