In this introductory review we discuss dynamical tests of the AdS 5× S 5 string/\mathcalN=4
Super Yang-Mills duality. After a brief introduction to AdS/CFT, we argue that semiclassical …

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 …

We derive and investigate the S-matrix for the su (2| 3) dynamic spin chain and for planar N=
4 super Yang–Mills. Due to the large amount of residual symmetry in the excitation picture …

We generalize various existing higher-loop Bethe ansätze for simple sectors of the
integrable long-range dynamic spin chain describing planar N= 4 super-Yang–Mills theory …

Abstract Recently Lunin and Maldacena used an SL (3, Bbb R) transformation of the AdS 5×
S 5 background to generate a supergravity solution dual to a so-called β-deformation of …

We give an introduction to the Quantum Spectral Curve in AdS/CFT. This is an integrability-
based framework which provides the exact spectrum of planar super Yang–Mills theory (and …

We investigate the AdS 3/CFT 2 correspondence for theories with 16 supercharges using
the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS …

Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an
integrable quantum field theory, we deduce that there might be new corrections to the spin …

We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS
5× S 5. For any solution of the equations of motion we derive a spectral curve of degree 4+ …

We analyze in detail the relation between an exactly marginal deformation of Script N= 4
SYM—the Leigh-Strassler or``β-deformation''—and its string theory dual (recently …