q-Deformed Supersymmetry and Dynamic Magnon Representations
High Energy Physics - Theory
2008-11-26 v2
Abstract
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.
Cite
@article{arxiv.0704.2069,
title = {q-Deformed Supersymmetry and Dynamic Magnon Representations},
author = {C. A. S. Young},
journal= {arXiv preprint arXiv:0704.2069},
year = {2008}
}