Description
I plan to discuss applications of the Gauge PDE formalism to the study of gauge field theories with asymptotic boundaries. The main ingredient is a notion of compactification for gauge field theories inspired by graded geometry, leading to a natural generalization of Penrose's idea of conformal compactification of gravity. As an application, the resulting framework gives rise to natural action functionals for asymptotic boundary data. In particular, it provides a derivation of actions for Carrollian field theories on null infinity from theories on Minkowski spacetime. In a certain sense, this procedure is analogous to the extraction of the logarithmic term in the renormalized on-shell action familiar from the AdS/CFT context, but it applies to arbitrary gauge field theories with asymptotic boundaries.