2018/11/27 by Sanjaye Ramgoolam, Mark C. Wilson, Ramgoolam, Sanjaye +3
Mathematics · Physics and Astronomy · #Affine transformation #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #FOS: Physical sciences #Gauge theory #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Matrix (chemical analysis) #Orbifold #Physics #Pure mathematics #Quantum many-body systems #Quiver #Ring (chemistry) #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1811.11229
19 pages, 8 figures, some clarifications on minimal critical points are added
openalex publication_date 2018/11/27 · arxiv created 2019/06/03 · arxiv updated 2019/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The large N generating functions for the counting of chiral operators in 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 ℂ3/An orbifold quivers.