Structure constants in $\mathcal{N}=2$ superconformal quiver theories at strong coupling and holography

TL;DR

This paper analytically computes the strong-coupling behavior of 3-point correlators in a specific 4D $ abla=2$ superconformal quiver theory and confirms these results via holography, validating the AdS/CFT correspondence beyond maximal supersymmetry.

Contribution

It provides the first exact strong-coupling results for 3-point functions in a non-maximally supersymmetric 4D superconformal theory and confirms them through holographic duality.

Findings

Exact strong-coupling behavior of 3-point correlators obtained analytically.

Holographic dual calculations agree with localization results.

Validation of AdS/CFT in a non-maximally supersymmetric context.

Abstract

In a four-dimensional $\mathcal{N}=2$ superconformal quiver theory with gauge group $\mathrm{SU}(N)\times\mathrm{SU}(N)$ and bi-fundamental matter, we analytically obtain the exact strong-coupling behavior of the normalized 3-point correlators of single-trace scalar operators in the large-$N$ limit using localization techniques. We then obtain the same strong-coupling behavior from the holographic dual using the AdS/CFT correspondence at the supergravity level. This agreement confirms the validity of the analytic strong-coupling results and of the holographic correspondence in a non-maximally supersymmetric set-up in four dimensions.