I am currently reading the paper "A Duality Web in 2+ 1 Dimensions and Condensed Matter Physics" by Seiberg et al, and on page 22 they add to the Lagrangian a monopole operator of the form \(\phi^\dagger \mathcal{M}_{\hat b}\). Firstly, is it perhaps a typo that the \(\phi\) is unhatted? Should it be hatted so that it is charged under U(1)\(_{\hat b}\) ? Secondly, how exactly does this operator break the global symmetry whose current is the topological current \(d\hat b\)? I have been trying to understand this under the light of "Generalized Global Symmetries", and if I understand correctly, this would constitute a 1-form global symmetry. However, I could not find in that paper a section which would explain why a monopole of this form would break the symmetry. I would be very grateful if someone could shed a little bit of light on this for me. Thank you!