Duality and Dimensional Reduction of 5D BF Theory
High Energy Physics - Theory
2014-03-12 v2 Mesoscale and Nanoscale Physics
Abstract
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.
Cite
@article{arxiv.1301.3688,
title = {Duality and Dimensional Reduction of 5D BF Theory},
author = {Andrea Amoretti and Alberto Blasi and Giacomo Caruso and Nicola Maggiore and Nicodemo Magnoli},
journal= {arXiv preprint arXiv:1301.3688},
year = {2014}
}
Comments
13 pages, plain LaTeX, version to appear on EPJC