q-Deformed supersymmetry and dynamic magnon representations

It was recently noted that the dispersion relation for the magnons of planar N = 4 SYM can be identified with the Casimir of a certain deformation of the Poincare algebra, in which the energy and momentum operators are supplemented by a boost generator J. By considering the relationship between J and su(2 vertical bar 2) x R-2, we derive a q-deformed super-Poincare symmetry algebra of the kinematics. Using this, we show that the dynamic magnon representations may be obtained by boosting from a fixed rest-frame representation. We comment on aspects of the coalgebra structure and some implications for the question of boost covariance of the S-matrix.