2017/01/09 by Alessandro Pini, Diego Rodrı́guez-Gómez, Diego Rodriguez-Gomez +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Dimension (graph theory) #Fixed point #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Orbifold #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Perturbation theory (quantum mechanics) #Physics #Planar #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quiver #Series (stratigraphy) #Supersymmetry #Yang–Mills theory #hep-th
paper · pdf · doi:10.1007/jhep08(2017)066
arxiv created 2017/01/09 · openalex publication_date 2017/08/01 · openalex created_date 2017/08/31 · arxiv updated 2017/09/13 · openalex updated_date 2026/08/05
Using supersymmetric localization, we consider four-dimensional N = 2 superconformal quiver gauge theories obtained from ℤn orbifolds of N = 4 Super Yang-Mills theory in the large N limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal building blocks. 2) It can be computed in perturbation series, which converges uniformly for |λ I | < π2, where λ I are the ’t Hooft coupling of the gauge groups. 3) The perturbation series for two-point functions can be explicitly computed to arbitrary orders. There is no universal effective coupling by which one can express them in terms of correlators of the N = 4 theory. 4) One can define twisted and untwisted sector operators. At the perturbative orbifold point, when all the couplings are the same, the correlators of untwisted sector operators coincide with those of N = 4 Super Yang-Mills theory. In the twisted sector, we find remarkable cancellations of a certain number of planar loops, determined by the conformal dimension of the operator.