title: Classical polylogarithms for amplitudes and Wilson loops.
abstract: We present a compact analytic formula for the two-loop six-particle maximally helicity violating remainder function (equivalently, the two-loop lightlike hexagon Wilson loop) in N=4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Lik with cross ratios of momentum twistor invariants as their arguments. In deriving our formula we rely on results from the theory of motives.
authors.affiliation: Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912, USA.
authors.forename: A B
authors.initials: AB
authors.lastname: Goncharov
authors.forename: M
authors.initials: M
authors.lastname: Spradlin
authors.forename: C
authors.initials: C
authors.lastname: Vergu
authors.forename: A
authors.initials: A
authors.lastname: Volovich