Integrable Structure of $5d$ $\mathcal{N}=1$ Supersymmetric Yang-Mills and Melting Crystal

Details Integrable Structure of $5d$ $\mathcal{N}=1$ Supersymmetric Yang-Mills and Melting Crystal Integrable Structure of $5d$ $\mathcal{N}=1$ Supersymmetric Yang-Mills and Melting Crystal

2008-06-23

arxiv.org/abs/0806.3675v1

Int.J.Mod.Phys.A23:2332-2342,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, based on an invited talk presented at the international workshop "Progress of String Theory and Quantum Fi

Scientific paper

10.1142/S0217751X08041177

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.

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