In this work we review recent progress in four-dimensional conformal quantum field theories
and scaling dimensions of local operators. Here we consider the example of maximally …

Half BPS correlators in $\mathcal {N}= 4$ super Yang–Mills theory are key quantities both in
the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at …

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge
theories (particularly N= 4 super-Yang-Mills theory), supergravity, and superstring theory …

We argue that existing methods for the perturbative computation of anomalous dimensions
and the disentanglement of mixing in N= 4 gauge theory can be considerably simplified …

We continue the analysis of hep-th/0303060 in the one-loop sector and present the
complete psu (2, 2| 4) dilatation operator of N= 4 super-Yang–Mills theory. This operator …

We present an expression for the leading-color (planar) four-loop four-point amplitude of N=
4 supersymmetric Yang-Mills theory in 4-2 ϵ dimensions, in terms of eight separate …

I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N= 4 supersymmetric Yang–Mills theory
and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At …

We start with an n− point correlation function in a conformal gauge theory. We show that a
special limit produces a polygonal Wilson loop with n sides. The limit takes the n points …

We show that, although the correlator of four stress-tensor multiplets in N= 4 SYM is known
to have radiative corrections, certain linear combinations of its components are protected …

We present a new approach to computing event shape distributions or, more precisely,
charge flow correlations in a generic conformal field theory (CFT). These infrared finite …