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arXiv · 0704.2069

q-Deformed Supersymmetry and Dynamic Magnon Representations

C. A. S. Young
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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.

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C. A. S. Young. 2007-04-24. q-Deformed Supersymmetry and Dynamic Magnon Representations. https://doi.org/10.1088/1751-8113%2F40%2F30%2F033

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