Duality and dimensional reduction of 5D BF theory

A planar boundary introduced à la Symanzik in the 5D topological BF theory, with only the requirements of locality and power counting, allows to uniquely determine a gauge invariant, non-topological 4D Lagrangian. The boundary condition on the bulk fields is interpreted as a duality relation for the...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2013-06, Vol.73 (6), p.1-7, Article 2461
Main Authors: Amoretti, A., Blasi, A., Caruso, G., Maggiore, N., Magnoli, N.
Format: Article
Language:English
Subjects:
Analogies
Astronomy
Astrophysics and Cosmology
Boundaries
Boundary conditions
Counting
Degrees of freedom
Elementary Particles
Hadrons
Heavy Ions
Invariants
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Three dimensional
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Summary:A planar boundary introduced à la Symanzik in the 5D topological BF theory, with only the requirements of locality and power counting, allows to uniquely determine a gauge invariant, non-topological 4D Lagrangian. The boundary condition on the bulk fields is interpreted as a duality relation for the boundary fields, in analogy with the fermionization duality which holds in the 3D case. This suggests that the 4D degrees of freedom might be fermionic, although starting from a bosonic bulk theory. The method we propose to dimensionally reduce a Quantum Field Theory and to identify the resulting degrees of freedom can be applied to a generic spacetime dimension.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-013-2461-3