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An exact formula for the radiation of a moving quark in $\mathcal{N} = 4$ super Yang Mills
A bstractWe derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed byExpand
An operator product expansion for polygonal null Wilson loops
We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limitExpand
Tailoring three-point functions and integrability
We use integrability techniques to compute structure constants in $ \mathcal{N} = 4 $ SYM to leading order at weak coupling and to leading order in the planar expansion. Three closed spin chains,Expand
The cusp anomalous dimension at three loops and beyond
We derive an analytic formula at three loops for the cusp anomalous dimension Γcusp(ϕ) in $ \mathcal{N} = {4} $ super Yang-Mills. This is done by exploiting the relation of the latter to the ReggeExpand
Spacetime and flux tube S-matrices at finite coupling for N=4 supersymmetric Yang-Mills theory.
We propose a nonperturbative formulation of planar scattering amplitudes in N=4 supersymmetric Yang-Mills theory, or, equivalently, polygonal Wilson loops. The construction is based on the operatorExpand
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
A bstractWe derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We doExpand
Space-time S-matrix and flux tube S-matrix II. Extracting and matching data
A bstractWe elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar $ \mathcal{N} $ = 4 Super-Yang-Mills theory. It allows one to compute a preciseExpand
Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions
A bstractWe consider light-like Wilson loops with hexagonal geometry in the planar limit of N$$ \mathcal{N} $$ = 4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loopsExpand
`Double-trace' deformations, boundary conditions and spacetime singularities
Double-trace deformations of the AdS/CFT duality result in a new perturbation expansion for string theory, based on a non-local worldsheet. We discuss some aspects of the deformation in the lowExpand
Pulling the straps of polygons
A bstractUsing the Operator Product Expansion for Wilson loops we derive a simple formula giving the discontinuities of the two loop result in terms of the one loop answer. We also argue that theExpand