Abstract
We review the derivation of the S-matrix for planar
$${\fancyscript{N}=4}$$
supersymmetric Yang–Mills theory and type IIB superstring theory on an AdS
5 × S
5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2|2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.
