Two-point correlators in non-conformal $\mathcal{N}=2$ gauge theories

Abstract

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them in perturbation theory, using dimensional regularization up to two loops, and show that field-theory observables built out of dimensionless ratios of two-point renormalized correlators on $R^4$ are in perfect agreement with the same quantities computed using localization on the four-sphere, even in the non-conformal case $N_f\ne 2N$.

57 pages, many figures. v2: version to appear on JHEP. Title changed, a few comments added in sections 2,3,4 to clarify some points

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Cited by in corpus (3)

• Exact results in a N=2 superconformal gauge theory at strong coupling
• Emitted Radiation and Geometry
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography