Tree-level scattering amplitudes in N = 4 super Yang-Mills theory have recently been shown to transform covariantly with respect to a ‘dual’ superconformal symmetry algebra, thus extending the… (More)

We argue that the scattering amplitudes in the maximally supersymmetric N = 4 super-Yang-Mills theory possess a new symmetry which extends the previously discovered dual confor-mal symmetry. To… (More)

Planar gluon amplitudes in N = 4 SYM are remarkably similar to expectation values of Wilson loops made of light-like segments. We argue that the latter can be determined by making use of the… (More)

We give an explicit formula for all tree amplitudes in N = 4 SYM, derived by solving the recently presented supersymmetric tree-level recursion relations. The result is given in a compact, manifestly… (More)

We develop a manifestly supersymmetric version of the generalized unitarity cut method for calculating scattering amplitudes in N = 4 SYM theory. We illustrate the power of this method by computing… (More)

As a test of the gluon scattering amplitude/Wilson loop duality, we evaluate the hexagonal light-like Wilson loop at two loops in N = 4 super Yang-Mills theory. We compare its finite part to the… (More)

There is growing evidence that on-shell gluon scattering amplitudes in planar N = 4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments… (More)

Scattering amplitudes at loop level can be expressed in terms of Feynman integrals. The latter satisfy partial differential equations in the kinematical variables. We argue that a good choice of… (More)

We study an alternative to dimensional regularisation of planar scattering amplitudes in N = 4 super Yang-Mills theory by going to the Coulomb phase of the theory. The infrared divergences are… (More)

We derive compact analytical formulae for all tree-level color-ordered gauge theory amplitudes involving any number of external gluons and up to four massless quarkanti-quark pairs. A general formula… (More)