Discrete $p$-Form Symmetry and Higher Coulomb Phases
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914508423823360 |
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| author | Borsten, Leron Kim, Hyungrok |
| author_facet | Borsten, Leron Kim, Hyungrok |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10459 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete $p$-Form Symmetry and Higher Coulomb Phases Borsten, Leron Kim, Hyungrok High Energy Physics - Theory High Energy Physics - Lattice Mathematical Physics 81T13 (Primary) 81T25, 81T45, 81R40, 57Z05 (Secondary) 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. |
| title | Discrete $p$-Form Symmetry and Higher Coulomb Phases |
| topic | High Energy Physics - Theory High Energy Physics - Lattice Mathematical Physics 81T13 (Primary) 81T25, 81T45, 81R40, 57Z05 (Secondary) |
| url | https://arxiv.org/abs/2507.10459 |