A note on the integral equation for the Wilson loop in N = 2 D=4 superconformal Yang-Mills theory

Abstract

We propose an alternative method to study the saddle point equation in the strong coupling limit for the Wilson loop in $\mathcal{N}=2$ D=4 super Yang-Mills with an SU(N) gauge group and 2N hypermultiplets. This method is based on an approximation of the integral equation kernel which allows to solve the simplified problem exactly. To determine the accuracy of this approximation, we compare our results to those obtained recently by Passerini and Zarembo. Although less precise, this simpler approach provides an explicit expression for the density of eigenvalues that is used to derive the planar free energy.

12 pages, v2: section 2.5 (Free Energy) amended and reference added, to appear in J. Phys. A

References in corpus (2)

• On Type IIA geometries dual to N = 2 SCFTs
• Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories

Cited by in corpus (7)

• Rigorous Test of Non-conformal Holography: Wilson Loops in N=2* Theory
• Large N Limit of N=2 SU(N) Gauge Theories from Localization
• N=2 Conformal SYM theories at large N
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography