Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge

Abstract

We analyse a light-like cusped Wilson loop in N=6 superconformal Chern-Simons theory at both weak and strong coupling in light-cone gauge. At the second order in the 't Hooft coupling $\lambda$ the correct cusp anomalous dimension ${\Gamma }_{\mathrm{cusp}}=-\varphi /2{\lambda }^2$ is recovered through a deformation of the contour that takes both rays of the cusp slightly off of the light-cone. The strong coupling behaviour is addressed by means of the Bethe-Salpeter equation for ladders of tree-level gauge propagators and ladders of one-loop corrected gauge propagators. It turns out that, as might be expected, the contribution of Chern-Simons tree-level propagators is insensitive of the cusp angle $\varphi$. On the other hand, corrected propagators lead to an exponential large $\lambda$ behaviour ${\Gamma }_{\mathrm{cusp}}\sim \exp \sqrt{\lambda \varphi }$ which, though, disagrees with the AdS/CFT predictions in the power of $\varphi$.

arXiv comment41 pages

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Cited by in corpus (3)

• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Ladder Limit for Correlators of Wilson Loops
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory