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

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• Conformal properties of four-gluon planar amplitudes and Wilson loops
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Cited by in corpus (5)

• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• 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
• Some analytic results for two-loop scattering amplitudes