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        q-Deformed Supersymmetry and Dynamic Magnon Representations

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        776606.pdf (PDF, 207Kb)
        Author
        Young, Charles A. S.
        Attention
        2299/10438
        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
        Publication date
        2007-04-17
        Published in
        Journal of Physics A: Mathematical and Theoretical
        Published version
        https://doi.org/10.1088/1751-8113/40/30/033
        Other links
        http://hdl.handle.net/2299/10438
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