Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories

Abstract

We study 4-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained with an orbifold projection from $\mathcal{N}=4$ SYM, and compute the 2- and 3-point correlation functions among chiral/anti-chiral single-trace scalar operators and the corresponding structure constants. Exploiting localization, we map the computation to an interacting matrix model and obtain expressions for the correlators and the structure constants that are valid for any value of the 't Hooft coupling in the planar limit of the theory. At strong coupling, these expressions simplify and allow us to extract the leading behavior in an analytic way. Finally, using the AdS/CFT correspondence, we compute the structure constants from the dual supergravity theory and obtain results that perfectly match the strong-coupling predictions from localization.

51 pages, 5 figures

References in corpus (9)

• 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
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Structure constants in $\mathcal{N}=2$ superconformal quiver theories at strong coupling and holography
• Wilson loops in terms of color invariants
• Wilson loops in circular quiver SCFTs at strong coupling
• The planar limit of $\mathcal{N}=2$ chiral correlators
• Surface Defects from Fractional Branes -- II

Cited by in corpus (1)

• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators