Few exact results on gauge symmetry factorizability on intervals
Abstract
We study the gauge symmetry factorizability by boundary conditions on intervals of any dimensions. With Dirichlet-Neumann BCs, the Kaluza-Klein decomposition in five-dimension for arbitrary gauge group can always be factorized into that for separate subsets of at most two gauge symmetries, and so is completely solvable. Accordingly, we formulate a limit theorem on gauge symmetry factorizability on intervals to recapitulate this remarkable feature of five-dimension case. In higher-dimensional space-time, an interesting chained mixing of gauge symmetries by Dirichlet-Neumann BCs is explicitly constructed. The systematic decomposition picture obtained in this work constitutes the initial step towards determining the general symmetry breaking scheme by boundary conditions.
Keywords
Cite
@article{arxiv.hep-th/0502205,
title = {Few exact results on gauge symmetry factorizability on intervals},
author = {Ngoc-Khanh Tran},
journal= {arXiv preprint arXiv:hep-th/0502205},
year = {2009}
}
Comments
34 pages, V3 considerable extension: gauge symmetry factorizability in arbitrary dimensions presented, statements on symmetry breakings softened. Dedicated to the memory of Prof. Henri van Regemorter