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.

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

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Cited by in corpus (2)

• Exploring superconformal Yang-Mills theories through matrix Bessel kernels
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers