Integrable Structure of $5d$ $\mathcal{N}=1$ Supersymmetric Yang-Mills   and Melting Crystal
  We study loop operators of $5d$ $\mathcal{N}=1$ SYM in $\Omega$ 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 $5d$ $\mathcal{N}=1$ SYM and melting crystal model. 
Toshio Nakatsu, Yui Noma, Kanehisa Takasaki