Non invertible symmetries in a simple 5d theory

by Riccardo Argurio

Thursday 13 Oct 2022, 14:30 → 15:30 Europe/Rome

Aula Magna

We will begin by reviewing how one can generalize the notion of symmetry trading time-independent charges for topological defects. After illustrating such notions in Maxwell theory, we will discuss a 5d Maxwell theory to which we add a Chern-Simons term. Here we will see that an ABJ-like anomaly arises, that nevertheless leaves behind a surprisingly large number of symmetries. The price to pay is that the defects that generate them are non-invertible. After discussing what that means, we will end with reductions, generalizations, and a brief review of other examples of non-invertible symmetries.