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

Analytic Results for MHV Wilson Loops