  Symmetry is a powerful tool for studying dynamics in QFT: it provides
selection rules, constrains RG flows, and often simplifies analysis. Currently,
our understanding is that the most general form of symmetry is described by
categorical symmetries which can be realized via Symmetry TQFTs or ``SymTFTs."
In this paper, we show how the framework of the SymTFT, which is understood for
discrete symmetries (i.e. finite categorical symmetries), can be generalized to
continuous symmetries. In addition to demonstrating how $U(1)$ global
symmetries can be incorporated into the paradigm of the SymTFT, we apply our
formalism to study cubic $U(1)$ anomalies in $4d$ QFTs, describe the
$\mathbb{Q}/\mathbb{Z}$ non-invertible chiral symmetry in $4d$ theories, and
conjecture the SymTFT for general continuous $G^{(0)}$ global symmetries.
