Description
Abstract: Unconventional SUSY connects spacetime and internal symmetries, combining spin-1 gauge field and spin-1/2 fermions in a single Lie superalgebra-valued connection. In this representation, states do not come in Bose-Fermi pairs, avoiding the doubling of fields. If the local symmetry contains the Lorentz group, gravity is inevitably included, but there are no spin-3/2 (or higher) fundamental fields. The resulting systems are remarkably simple, closely resembling a standard quantum field theory and SUSY still emerges not as a symmetry of the action, but as a feature of the vacuum/ground state. Thus, local SUSY is a conditional/contingent symmetry, like Poincaré or AdS symmetries that depend on the nature of the spacetime background. We illustrate the general construction with 3D and 4D examples.
