Abstract
We consider discrete gauge symmetries in D dimensions arising as remnants of broken continuous gauge symmetries carried by general antisymmetric tensor fields, rather than by standard 1-forms. The lagrangian for such a general Z p gauge theory can be described in terms of a r-form gauge field made massive by a (r − 1)-form, or other dual realizations, that we also discuss. The theory contains charged topological defects of different dimensionalities, generalizing the familiar charged particles and strings in D = 4. We describe realizations in string theory compactifications with torsion cycles, or with background field strength fluxes. We also provide examples of non-abelian discrete groups, for which the group elements are associated with charged objects of different dimensionality.
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Berasaluce-González, M., Ramírez, G. & Uranga, A.M. Antisymmetric tensor Z p gauge symmetries in field theory and string theory. J. High Energ. Phys. 2014, 59 (2014). https://doi.org/10.1007/JHEP01(2014)059
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DOI: https://doi.org/10.1007/JHEP01(2014)059