Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories

Abstract

We study the 3-point functions of gauge-invariant scalar operators in four dimensional $\mathcal{N}=2$ superconformal quiver theories using supersymmetric localization in the planar limit of a large number of colors. By exploiting a web of nontrivial relations, we show that the 3-point functions can be expressed in terms of the 2-point functions through exact Ward-like identities that are valid for all values of the coupling constant. In this way, using recent results about the 2-point functions, we are able to obtain the asymptotic strong-coupling expansion of the 3-point functions and of the corresponding structure constants in the planar limit. Our results extend to sub-leading orders what has been recently found at leading order, where a precise match with calculations within the AdS/CFT correspondence at the supergravity level is possible. Therefore, our findings can be interpreted also as a prediction for the sub-leading string corrections to these holographic calculations.

arXiv comment25 pages, 2 figures, a few references added

References in corpus (31)

• Gauge Theory Correlators from Non-Critical String Theory
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• 4d Conformal Field Theories and Strings on Orbifolds
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Correlation Functions of Coulomb Branch Operators
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• Bootstrapping the simplest correlator in planar N = 4 SYM at all loops
• Exact properties of an integrated correlator in $\mathcal{N}=4$ $SU(N)$ SYM
• On exact correlation functions in SU(N) $\mathcal{N}=2$ superconformal QCD
• Comments on N=2 AdS Orbifolds
• Two-point Correlators in N=2 Gauge Theories
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Exact null octagon
• Large N Correlation Functions in Superconformal Field Theories
• Octagon at finite coupling
• 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
• 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
• Crossing bridges with strong Szego limit theorem
• Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• Quiver CFT at strong coupling
• Introduction to localization in quantum field theory
• 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

Cited by in corpus (7)

• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• Linear Quivers at Large-$N$
• 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