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High Energy Physics - Theory

arXiv:1811.11229 (hep-th)
[Submitted on 27 Nov 2018 (v1), last revised 3 Jun 2019 (this version, v2)]

Title:Quiver Asymptotics: $\mathcal{N}=1$ Free Chiral Ring

Authors:Sanjaye Ramgoolam, Mark C. Wilson, Ali Zahabi
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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 $\mathbb{C}^3/\hat{A}_n$ orbifold quivers.
Comments: 19 pages, 8 figures, some clarifications on minimal critical points are added
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Cite as: arXiv:1811.11229 [hep-th]
  (or arXiv:1811.11229v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1811.11229

Submission history

From: Ali Zahabi [view email]
[v1] Tue, 27 Nov 2018 19:54:47 UTC (249 KB)
[v2] Mon, 3 Jun 2019 15:06:29 UTC (251 KB)
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