Emergent matter from 3D generalized group field theories

We identify classical solutions of a generalized group field theory (GFT) model in three dimensions and study the corresponding perturbations, deriving their effective dynamics. We discuss their interpretation as emergent matter fields. This allows us on the one hand to test the proposed mechanism for emergence of matter as a phase of GFT, and on the other hand to expose some limitations of the generalized GFT formalism.