17 November 2023
IOP
Europe/London timezone

Supergeometry in Effective Quantum Field Theories

17 Nov 2023, 16:00
30m
IOP

IOP

37 Caledonian Road London N1 9BU UK
Talk

Speaker

Viola Gattus

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.

Authors

Prof. Apostolos Pilaftsis (University of Manchester (GB)) Viola Gattus

Presentation materials

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