Speaker
Description
After a short review of the field-space formalism on a supermanifold, I will present a natural approach to deriving the supermetric from the classical action of an effective Supergeometric Quantum Field Theory (SG-QFT). I will give the proof of a no-go theorem for the generation of a non-zero super-Riemannian curvature in a bilinear kinetic fermionic sector from the existence of scalar fields only in SG-QFTs. Then, I will present for the first time two novel minimal models that feature non-zero fermionic field-space curvature both in two and four spacetime dimensions up to second order in spacetime derivatives. Finally, I will present the scalar-fermion superpropagators, as well as the three- and four-point supervertices, thereby generalising earlier results of pure bosonic theories that were known before in the context of SMEFT. Physical applications within this novel SG-QFT framework will be discussed.