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Duality and Dimensional Reduction of 5D BF Theory

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arxiv 1301.3688 v2 pith:BELLLHSF submitted 2013-01-16 hep-th cond-mat.mes-hall

Andrea Amoretti , Alberto Blasi , Giacomo Caruso , Nicola Maggiore , Nicodemo Magnoli This is my paper
classification hep-thcond-mat.mes-hall
keywords theoryboundarydualitybulkdegreesfieldsfreedomtopological
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A planar boundary introduced \`a la Symanzik in the 5D topological BF theory, with the only requirement 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.

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  1. Notes from the bulk

    hep-th 2025-07 conditional novelty 4.0 of 10

    A boundary-QFT analysis shows that curved bulk metrics create local edge velocities in topological models and that fracton and linearized-gravity theories carry Kac-Moody boundary algebras.

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