We review the recent progress towards applying worldsheet integrability techniques to the
${\rm Ad}{{{\rm S}} _ {3}}/{\rm CF}{{{\rm T}} _ {2}} $ correspondence to find its all-loop S matrix …

We review, in a self-contained and pedagogical manner, recent developments and
techniques for the evaluation of scattering amplitudes of planar N= 4 SYM theory at both …

We discuss possible phase factors for the S-matrix of planar gauge theory, leading to
modifications at four-loop order as compared to an earlier proposal. While these result in a …

We describe how to compute planar gluon scattering amplitudes at strong coupling in Script
N= 4 super Yang Mills by using the gauge/string duality. The computation boils down to …

We review the recent advances towards finding the spectrum of the AdS 5× S 5 superstring.
We thoroughly explain the theoretical techniques which should be useful for the ultimate …

Tree-level scattering amplitudes in Script N= 4 super Yang-Mills theory have recently been
shown to transform covariantly with respect to adual'superconformal symmetry algebra, thus …

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 …

A bstract We give a derivation of quantum spectral curve (QSC)—a finite set of Riemann-
Hilbert equations for exact spectrum of planar\(\mathcal {N}= 4\) SYM theory proposed in our …

We consider high spin operators. We give a general argument for the logarithmic scaling of
their anomalous dimensions which is based on the symmetries of the problem. By an …

Moving from the mirror theory Bethe–Yang equations proposed by Arutyunov and Frolov, we
derive the thermodynamic Bethe ansatz equations which should control the spectrum of the …