@article{ramgoolam2020quiver,
  title={Quiver asymptotics: free chiral ring},
  author={Ramgoolam, Sanjaye and Wilson, Mark C and Zahabi, Ali},
  journal={Journal of Physics A: Mathematical and Theoretical},
  volume={53},
  number={10},
  pages={105401},
  year={2020},
  publisher={IOP Publishing},
  keywords={ACSV applications},
  url_Paper={https://iopscience.iop.org/article/10.1088/1751-8121/ab6fc6/pdf},
  abstract={The large N generating functions for the counting of chiral operators in
$\mathcal{N} = 1$, four-dimensional quiver gauge theories have
previously been obtained in terms of the weighted adjacency matrix of
the quiver diagram. We introduce the methods of multi-variate asymptotic
analysis to study this counting in the limit of large charges. We
describe a Hagedorn phase transition associated with this asymptotics,
which refines and generalizes known results on the 2-matrix harmonic
oscillator. Explicit results are obtained for two infinite classes of
quiver theories, namely the generalized clover quivers and affine
$\mathbb{C}^3 \setminus \hat{A}_n$ orbifold quivers.}
}

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