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.

arXiv comment51 pages, 5 figures

References in corpus (41)

• 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
• Review of AdS/CFT Integrability: An Overview
• 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
• Fractional D-branes and their gauge duals
• On exact correlation functions in SU(N) $\mathcal{N}=2$ superconformal QCD
• Exact correlation functions in SU(2) N=2 superconformal QCD
• A limit for large $R$-charge correlators in $\mathcal{N}=2$ theories
• N = 2 Gauge/Gravity Duals
• Comments on N=2 AdS Orbifolds
• Two-point Correlators in N=2 Gauge Theories
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Large N Correlation Functions in Superconformal Field Theories
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• Exact Bremsstrahlung and Effective Couplings
• N=2 Conformal SYM theories at large N
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Classical geometry and gauge duals for fractional branes on ALE orbifolds
• Orbifold boundary states from Cardy's condition
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers
• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• Quiver CFT at strong coupling
• Introduction to localization in quantum field theory
• Wilson loops in terms of color invariants
• Structure constants in $\mathcal{N}=2$ superconformal quiver theories at strong coupling and holography
• Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
• Wilson loops in circular quiver SCFTs at strong coupling
• The planar limit of $\mathcal{N}=2$ chiral correlators
• (Mis-)Matching Type-B Anomalies on the Higgs Branch
• Surface Defects from Fractional Branes -- II
• Worldsheet dual of free $\mathcal{N}=2$ quiver gauge theories

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• Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• 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
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators
• 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