  A theory with a non-compact form-symmetry is described by two closed form
fields of degrees k and d-k. Effective theory examples are non-linear
electrodynamics, a photon field coupled to a neutron field, and a low energy
Goldstone boson. We show these models cannot be completed in the UV without
breaking the non-compact form-symmetry down to a compact one. This amounts to
the existence of electric or magnetic charges. A theory with an unbroken
non-compact k-form symmetry is massless and free.
