BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation

Abstract

We consider the expectation value $⟨\mathcal{W}⟩$ of the circular BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This model admits a regular large $N$ expansion, is planar-equivalent to $\mathcal{N}=4$ SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS${}_5\times S^5$ superstring theory. On the string theory side $⟨\mathcal{W}⟩$ is represented by the path integral expanded near the same AdS${}_2$ minimal surface as in the maximally supersymmetric case. Following the string theory argument in arXiv:2007.08512, we suggest that as in the $\mathcal{N}=4$ SYM case and in the $\mathcal{N}=2$ $SU(N)\times SU(N)$ superconformal quiver theory discussed in arXiv:2102.07696, the coefficient of the leading non-planar $1/N^2$ correction in $⟨\mathcal{W}⟩$ should have the universal ${\lambda }^{3/2}$ scaling at large 't Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for $⟨\mathcal{W}⟩$. We complement the analytic derivation of the ${\lambda }^{3/2}$ scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis.

arXiv comment29 pages, several pdf figures. v4: minor corrections and note added on recent exact results in arXiv:2207.11475

References in corpus (42)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Transcendentality and Crossing
• 4d Conformal Field Theories and Strings on Orbifolds
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Localization techniques in quantum field theories
• Level-Spacing Distributions and the Bessel Kernel
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• On Subleading Contributions to the AdS/CFT Trace Anomaly
• Massive N=2 Gauge Theories at Large N
• Large N Limit of N=2 SU(N) Gauge Theories from Localization
• Evidence for Large-N Phase Transitions in N=2* Theory
• On exact correlation functions in SU(N) $\mathcal{N}=2$ superconformal QCD
• Exact correlation functions in SU(2) N=2 superconformal QCD
• Wilson Loops in N=2 Super-Yang-Mills from Matrix Model
• Physical Resurgent Extrapolation
• A Note on Anomalies in the AdS/CFT Correspondence
• Orientifolding the conifold
• 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
• The Exact Effective Couplings of 4D N=2 gauge theories
• Resurgent Extrapolation: Rebuilding a Function from Asymptotic Data. Painleve I
• Localization and AdS/CFT Correspondence
• Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence
• 1/N^2 corrections to the holographic Weyl anomaly
• Probing N=2 superconformal field theories with localization
• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Strong-Coupling Phases of Planar N=2* Super-Yang-Mills Theory
• Exact probes of orientifolds
• Quiver CFT at strong coupling
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Wilson loops in circular quiver SCFTs at strong coupling
• Universality of Toda equation in $\mathcal{N}=2$ superconformal field theories
• 1/N corrections to anomalies and the AdS/CFT correspondence for orientifolded N=2 orbifold and N=1 conifold models
• On topological recursion for Wilson loops in $\mathcal{N}=4$ SYM at strong coupling

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