
arXiv: 1512.03328
A group theoretical mechanism for unification of local gauge and spacetime symmetries is introduced. No-go theorems prohibiting such unification are circumvented by slightly relaxing the usual requirement on the gauge group: only the so called Levi factor of the gauge group needs to be compact semisimple, not the entire gauge group. This allows a non-conventional supersymmetry-like extension of the gauge group, glueing together the gauge and spacetime symmetries, but not needing any new exotic gauge particles. It is shown that this new relaxed requirement on the gauge group is nothing but the minimal condition for energy positivity. The mechanism is demonstrated to be mathematically possible and physically plausible on a U(1) based gauge theory setting. The unified group, being an extension of the group of spacetime symmetries, is shown to be different than that of the conventional supersymmetry group, thus overcoming the McGlinn and Coleman-Mandula no-go theorems in a non-supersymmetric way.
20 pages, 4 figures
High Energy Physics - Theory, Special relativity, unification, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory, spacetime symmetry, High Energy Physics - Theory (hep-th), gauge symmetry, Poincaré group, QC Physics / fizika, McGlinn theorem, Coleman-Mandula theorem, Supersymmetric field theories in quantum mechanics, supersymmetry, Mathematical Physics
High Energy Physics - Theory, Special relativity, unification, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory, spacetime symmetry, High Energy Physics - Theory (hep-th), gauge symmetry, Poincaré group, QC Physics / fizika, McGlinn theorem, Coleman-Mandula theorem, Supersymmetric field theories in quantum mechanics, supersymmetry, Mathematical Physics
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