Speaker
Description
I will explore some foundational aspects of supersymmetric field theories under the perspective of the Dressing Field Method (DFM), a new systematic tool to exhibit the gauge-invariant content of general-relativistic gauge field theories.
First, I will show that the gauge-fixing conditions typically used to extract the degrees of freedom of the Rarita-Schwinger spinor-vector and gravitino fields are actually instances of the DFM. Since the latter has a natural relational interpretation, solving the dressing functional constraints actually realises the Rarita-Schwinger spinor-vector and gravitino fields as relational variables.
I will then discuss the unconventional supersymmetry proposal by Alvarez, Valenzuela, and Zanelli, aiming to use the framework of supersymmetric field theory to describe fermionic matter fields and bosonic gauge fields as parts of a single superconnection, showing that the so-called matter ansatz underlying the theory is a special case of the DFM.
