Analytic Results for MHV Wilson Loops

Abstract

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional subspace of the 4-dimensional gauge theory, corresponding to the boundary of the AdS_3 on the string theory side. Our analytic results hold for any number of edges, thus generalising to arbitrary n the recently derived expressions for 2-dimensional octagons. These polygonal Wilson loops have been conjectured to be equivalent to MHV scattering amplitudes in planar N=4 SYM.

20 pages, 6 figures

References in corpus (7)

• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• On the two-loop hexagon Wilson loop remainder function in N=4 SYM

Cited by in corpus (7)

• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• New differential equations for on-shell loop integrals
• General properties of multiparton webs: proofs from combinatorics
• Simple loop integrals and amplitudes in N=4 SYM
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• Some analytic results for two-loop scattering amplitudes