Speaker
Matteo Bruno
(Sapienza University of Rome)
Description
In this talk, we analyze the functional properties of spinfoams independently of any specific model. We propose a set of axioms for defining a spinfoam model, inspired by Atiyah’s axioms for Topological Quantum Field Theory (TQFT) at the discrete level. Building on this framework, we introduce a precise notion of the refinement limit, from which we derive the properties of the spinfoam transition amplitude in the continuum. Assuming a natural convergence condition for this limit, we prove that the theory defines a rigging map. Consequently, the construction yields a unique candidate for the physical Hilbert space of the theory, allowing us to characterize physical states directly from truncated spinfoam amplitudes.
Author
Matteo Bruno
(Sapienza University of Rome)
Co-authors
Carlo Rovelli
(Aix-Marseille University)
Eugenia Colafranceschi
(Universidad Complutense de Madrid)
Fabio Mele
(Louisiana State University)
