Quandles arise from gauge transformation groups on principal bundles, matching generalized Alexander quandles for groups viewed as bundles over a point and extending to Lie and Noether structures in the smooth case.
arXiv preprint arXiv:2401.05275 , year=
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Field theories with ℤ_N p-form symmetry generically admit a Coulomb phase where the infrared theory is Abelian p-form electrodynamics, illustrated via continuum and lattice examples.
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Quandles from gauge transformations
Quandles arise from gauge transformation groups on principal bundles, matching generalized Alexander quandles for groups viewed as bundles over a point and extending to Lie and Noether structures in the smooth case.
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Discrete $p$-Form Symmetry and Higher Coulomb Phases
Field theories with ℤ_N p-form symmetry generically admit a Coulomb phase where the infrared theory is Abelian p-form electrodynamics, illustrated via continuum and lattice examples.