Jorge Zanelli (Centro de Estudios Cientificos, Valdivia, Chile)

Title: Local SUSY, an unconventional approach

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 fundamental fields of spin-3/2 or higher. 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, which depend on the nature of the spacetime background. We illustrate the general construction with 3D and 4D examples.

This talk will be in hybrid mode via zoom, please contact the seminar organizers to obtain the password.