Topologically protected duality on the boundary of Maxwell-BF theory

The Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four dimensional spacetime. The presence of a boundary breaks the Ward identities which describe the gauge symmetries of the theory, and, using standard methods of quantum field theory, the most general boundary con...

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Bibliographic Details
Published inarXiv.org
Main Authors Blasi, Alberto, Maggiore, Nicola
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.07.2019
Subjects
Boundary conditions
Current algebra
Euclidean geometry
Field theory
Fields (mathematics)
Physics - High Energy Physics - Theory
Quantum field theory
Quantum theory
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Summary:The Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four dimensional spacetime. The presence of a boundary breaks the Ward identities which describe the gauge symmetries of the theory, and, using standard methods of quantum field theory, the most general boundary conditions and a nontrivial current algebra on the boundary are derived. The electromagnetic structure which characterizes the boundary is used to identify the three dimensional degrees of freedom, which turn out to be formed by a scalar field and a vector field, related by a duality relation. The induced three dimensional theory shows a strong-weak coupling duality which separates different regimes described by different covariant actions. The role of the Maxwell term in the bulk action is discussed, together with the relevance of the topological nature of the bulk action for the boundary physics.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.08764