  We present a class of three-dimensional quantum field theories whose ordinary
global symmetries mix with higher-form symmetries to form a continuous 2-group.
All these models can be obtained by performing a gauging procedure in a parent
theory revealing a 't Hooft anomaly in the space of coupling constants when
suitable compact scalar background fields are activated. Furthermore, the
gauging procedure also implies that our main example has infinitely many
non-invertible global symmetries. These can be obtained by dressing the
continuous symmetry operators with topological quantum field theories. Finally,
we comment on the holographic realization of both 2-group global symmetries and
non-invertible symmetries discussed here by introducing a corresponding
four-dimensional bulk description in terms of dynamical gauge fields.

High Energy Physics - Theory