T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …

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 …

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 …

We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe
Ansatz equations for the AdS 5× S 5 mirror model. We further demonstrate how these …

Using the thermodynamic Bethe ansatz method we derive an infinite set of integral non-
linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured …

A bstract We 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 …

A bstract We consider superstrings on the pure-Ramond-Ramond AdS 3× S 3× T 4
background. Using the recently-proposed dressing factors for the worldsheet S matrix, we …

We determine the off-shell symmetry algebra and representations of Type IIB superstring
theory on AdS 3× S 3× T 4 with mixed R–R and NS–NS three-form flux. We use these to …

A bstract We derive the non-perturbative worldsheet S matrix for fundamental excitations of
Type IIB superstring theory on AdS 3× S 3× T 4 with Ramond-Ramond flux. To this end, we …