BPS Wilson loops in generic conformal N=2 SU(N) SYM theories

Abstract

We consider the 1/2 BPS circular Wilson loop in a generic N=2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite $N$ and in the large-N limit, using the interacting matrix model provided by localization results. We single out some families of theories for which the Wilson loop vacuum expectation values approaches the N=4 result in the large-N limit, in agreement with the fact that they possess a simple holographic dual. At finite N and in the generic case, we explicitly compare the matrix model result with the field-theory perturbative expansion up to order g^8 for the terms proportional to the Riemann value zeta(5), finding perfect agreement. Organizing the Feynman diagrams as suggested by the structure of the matrix model turns out to be very convenient for this computation.

v2: references added and typos fixed; matches the published version

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Cited by in corpus (27)

• N=2 Conformal SYM theories at large N
• Exact results in a N=2 superconformal gauge theory at strong coupling
• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
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• Quiver CFT at strong coupling
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• 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
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• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• Wilson loops in circular quiver SCFTs at strong coupling
• Supersymmetric Yang-Mills, Spherical Branes, and Precision Holography
• The planar limit of $\mathcal{N}=2$ chiral correlators
• The planar limit of integrated 4-point functions
• Emitted Radiation and Geometry
• Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories
• Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization
• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
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• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• On the planar free energy of matrix models
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets