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arXiv · 2507.10459

Discrete $p$-Form Symmetry and Higher Coulomb Phases

Leron Borsten·Hyungrok Kim
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Abstract

We argue that a field theory with a $\mathbb Z_N$ $p$-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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Leron Borsten, Hyungrok Kim. 2026-04-27. Discrete $p$-Form Symmetry and Higher Coulomb Phases. https://doi.org/10.1103/68yd-7rn7

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