Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-04-17
J.Phys.A40:9165-9176,2007
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTeX; (v2) references added
Scientific paper
10.1088/1751-8113/40/30/033
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|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.
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