Please use this identifier to cite or link to this item: https://doi.org/10.1088/0305-4470/22/13/026
Title: Group-theoretic aspects of the Hosotani mechanism
Authors: McInnes, B. 
Issue Date: 7-Jul-1989
Citation: McInnes, B. (1989-07-07). Group-theoretic aspects of the Hosotani mechanism. Journal of Physics A: Mathematical and General 22 (13) : 2309-2328. ScholarBank@NUS Repository. https://doi.org/10.1088/0305-4470/22/13/026
Abstract: If a gauge configuration has a non-trivial holonomy group @ in the vacuum, then the gauge symmetry is broken to the centraliser of @ in the gauge group. This approach to symmetry breaking has found important applications recently. Here we study this mechanism from a general point of view: given a compact Lie group G and a compact subgroup H, we find conditions for the existence of a group J with H = CJ (centraliser of J), study the uniqueness of J, and ask whether J can be represented as the holonomy group of some connection. © 1989 IOP Publishing Ltd.
Source Title: Journal of Physics A: Mathematical and General
URI: http://scholarbank.nus.edu.sg/handle/10635/103359
ISSN: 03054470
DOI: 10.1088/0305-4470/22/13/026
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