Antisymmetric tensor Z sub( )pgauge symmetries in field theory and string theory

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 sub(p) gauge theory can be described in terms of a r-form gauge field m...

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Published inThe journal of high energy physics Vol. 2014; no. 1; pp. 1 - 14
Main Authors Berasaluce-Gonzalez, Mikel, Ramirez, Guillermo, Uranga, Angel M
Format Journal Article
LanguageEnglish
Published 01.01.2014
Subjects
Charged particles
Gages
Gauges
Mathematical analysis
String theory
Symmetry
Tensors
Torsion
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Summary: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 sub(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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ISSN:1029-8479
DOI:10.1007/JHEP01(2014)059