An extension of the spacetime symmetry group and its relation to SUSY

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Written by Andras Laszlo

In this talk a nontrivial extension of the spacetime symmetry group is presented. It significantly differs from the one applied in SUSY as the generators of the extended part couple to the generators of the conformal Lorentz group rather than to the generators of translations. When acts at spacetime points this group is comprised by a semi-direct product of a nilpotent normal subgroup N and that of the product U(1) x conformal Lorentz group. As a result N combines the U(1) gauge symmetry and the spacetime symmetry action, circuimventing thereby the Coleman-Mandula no-go theorem due to the presence of the nilpotent part N. (Main results are based on arXiv:1512.03328 and arXiv:1507.08039)