On three-point functions in ABJM and the latitude Wilson loop

Abstract

Abstract I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up to two-loop order. As an application I enforce a limit on the gauge group ranks, in which I relate the structure constant for three chiral primary operators to the expectation value of a supersymmetric Wilson loop. Such a relation is then used to perform a successful five-loop test on the matrix model conjectured to describe the supersymmetric Wilson loop.

Keywords

• Chern-Simons Theories
• Conformal Field Theory
• Wilson
• ’t Hooft and Polyakov loops
• Integrable Field Theories