Two-point Correlators in N=2 Gauge Theories

Abstract

We consider two-point correlators in SU(N) gauge theories on R4 with N=2 supersymmetry and Nf massless hypermultiplets in the fundamental representation. Using localization on S4, we compute the leading perturbative corrections to the two-point functions of chiral/anti-chiral operators made of scalar fields. The results are compared at two and three loops against direct field theory computations for some special operators whose correlators remain finite in perturbation theory at the specific loop order. In the conformal case, the match is shown up to two loops for a generic choice of operators and for arbitrary N.

42 pages, 11 figures

References in corpus (10)

• Localization techniques in quantum field theories
• Sphere Partition Functions and the Zamolodchikov Metric
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• Exact correlation functions in SU(2) N=2 superconformal QCD
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
• Three-loop universal structure constants in N=4 susy Yang-Mills theory
• Wilson Loops and Chiral Correlators on Squashed Spheres
• The massless supersymmetric ladder with L rungs

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