A non-SUSY extension of the Poincar\'e group
Á. László · arXiv (Cornell University) · 2015
In this paper a nontrivial extension of the Poincar\'e group is presented, circumventing the Coleman-Mandula no-go theorem in a very different way than that of SUSY. The extended part can be identified with a gauge group, containing a U(1) component along with a nilpotent normal subgroup. The physical interpretation of the nilpotent normal subgroup is given in terms of a quantum field theory toy model. The presented mechanism could provide a unification of Standard Model gauge groups, as well as relating the gauge symmetries to spacetime symmetries.