  We review the derivation of the S-matrix for planar N=4 supersymmetric
Yang-Mills theory and type IIB superstring theory on an AdS5xS5 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.
