Quiver Asymptotics: $\mathcal{N}=1$ Free Chiral Ring
High Energy Physics - Theory
2019-06-04 v2 Mathematical Physics
math.MP
Abstract
The large N generating functions for the counting of chiral operators in , 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 orbifold quivers.
Keywords
Cite
@article{arxiv.1811.11229,
title = {Quiver Asymptotics: $\mathcal{N}=1$ Free Chiral Ring},
author = {Sanjaye Ramgoolam and Mark C. Wilson and Ali Zahabi},
journal= {arXiv preprint arXiv:1811.11229},
year = {2019}
}
Comments
19 pages, 8 figures, some clarifications on minimal critical points are added