A diffeological construction of Singer's universal connection yields an equivalence of categories between the holonomy category and the category of diffeological bundle-connection pairs.
Iterated integrals of differential forms and loop space homology
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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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A Diffeological Construction of Singer's Universal Connection
A diffeological construction of Singer's universal connection yields an equivalence of categories between the holonomy category and the category of diffeological bundle-connection pairs.
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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.