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

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.

arXiv comment5 pages, 2 figures

References in corpus (16)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• D-branes, Quivers, and ALE Instantons
• 4d Conformal Field Theories and Strings on Orbifolds
• How to Succeed at Holographic Correlators Without Really Trying
• Correlation Functions of Coulomb Branch Operators
• Extremal Correlators in the AdS/CFT Correspondence
• Exact correlation functions in SU(2) N=2 superconformal QCD
• Comments on N=2 AdS Orbifolds
• Two-point Correlators in N=2 Gauge Theories
• N=2 Conformal SYM theories at large N
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Quiver CFT at strong coupling

Cited by in corpus (9)

• Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories
• Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
• Linear Quivers at Large-$N$
• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories
• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
• Integrated correlators with a Wilson line in a $\mathcal{N}=2$ quiver gauge theory at strong coupling
• Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling
• Exploring the twisted sector of ${\mathbb{Z}}_L$ orbifolds: Matching ${\alpha }^{\prime }$-corrections to localisation