q-Deformed Supersymmetry and Dynamic Magnon Representations

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.

15 pages, LaTeX; (v2) references added

References in corpus (4)

• On the Singularities of the Magnon S-matrix
• Strong coupling limit of Bethe Ansatz equations
• Classical r-matrix of the su(2|2) SYM spin-chain
• On the origin of the dressing phase in N=4 Super Yang-Mills

Cited by in corpus (5)

• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Classical r-matrix of the su(2|2) SYM spin-chain
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• On the multi-spin magnon and spike solutions from membranes
• The Ising model and planar N=4 Yang-Mills