Abstract
If a gauge configuration has a non-trivial holonomy group Phi in the vacuum, then the gauge symmetry is broken to the centraliser of Phi in the gauge group. This approach to symmetry breaking has found important applications recently. Here the author studies this mechanism from a general point of view: given a compact Lie group G and a compact subgroup H, he finds conditions for the existence of a group J with H=CJ (centraliser of J), studies the uniqueness of J, and asks whether J can be represented as the holonomy group of some connection.
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