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Open AccessArticle

Topologically Protected Duality on The Boundary of Maxwell-BF Theory

1
Dipartimento di Fisica, Università di Genova, via Dodecaneso 33, I-16146 Genova, Italy
2
I.N.F.N.—Sezione di Genova, via Dodecaneso 33, I-16146 Genova, Italy
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(7), 921; https://doi.org/10.3390/sym11070921
Received: 4 June 2019 / Revised: 5 July 2019 / Accepted: 10 July 2019 / Published: 15 July 2019
(This article belongs to the Special Issue Duality Symmetry)
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. View Full-Text
Keywords: quantum field theory; topological quantum field theory; duality in gauge field theories; boundary quantum field theory quantum field theory; topological quantum field theory; duality in gauge field theories; boundary quantum field theory
MDPI and ACS Style

Blasi, A.; Maggiore, N. Topologically Protected Duality on The Boundary of Maxwell-BF Theory. Symmetry 2019, 11, 921.

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