Integrated correlators with a Wilson line in a $\mathcal{N}=2$ quiver gauge theory at strong coupling

Abstract

We consider the four-dimensional $\mathcal{N}=2$ quiver gauge theory arising from a ${\mathbb{Z}}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2N)$. We study the integrated correlator between a half-BPS Wilson line and two Higgs branch operators of conformal dimension 2. Using supersymmetric localization, we resum the perturbative series for this observable and obtain exact expressions for both the planar and next-to-planar terms of its large $N$ expansion, valid for arbitrary values of the 't Hooft coupling. Finally, through a combination of analytical and numerical methods, we determine the leading terms of the corresponding strong-coupling expansions.

arXiv comment21 pages

References in corpus (43)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• 4d Conformal Field Theories and Strings on Orbifolds
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• $\mathcal{N}=4$ 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
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• Exact properties of an integrated correlator in $\mathcal{N}=4$ $SU(N)$ SYM
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• Comments on N=2 AdS Orbifolds
• Two-point Correlators in N=2 Gauge Theories
• A novel representation of an integrated correlator in $\mathcal{N}=4$ SYM theory
• 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
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• The Exact Effective Couplings of 4D N=2 gauge theories
• 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
• Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories
• Quiver CFT at strong coupling
• Modular-invariant large-$N$ completion of an integrated correlator in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Introduction to localization in quantum field theory
• Generating functions and large-charge expansion of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Integrated correlators in $\mathcal{N}=4$ super Yang-Mills and periods
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Laplace-difference equation for integrated correlators of operators with general charges in $\mathcal{N}=4$ SYM
• Wilson loops in terms of color invariants
• Structure constants in $\mathcal{N}=2$ superconformal quiver theories at strong coupling and holography
• Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories
• Wilson loops in circular quiver SCFTs at strong coupling
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• The planar limit of $\mathcal{N}=2$ chiral correlators
• The planar limit of integrated 4-point functions
• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• Non-planar integrated correlator in $\mathcal{N}=4$ SYM
• Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators

Cited by in corpus (1)

• Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling