Theories exhibit a Coulomb phase with Abelian p-form electrodynamics, highlighting symmetry implications.
We argue that a field theory with a ZN p-form symmetry generically admits, in addition to a Higgs phase and a 'confining' phase, a Coulomb phase in which the infrared theory contains Abelian p-form electrodynamics, similar to the behaviour of Yang-Mills theory coupled to adjoint or fundamental matter. We illustrate our claim with continuum and lattice examples.
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Borsten et al. (2025) studied this question.
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