Parallel transport on non-Abelian flux tubes

Details Parallel transport on non-Abelian flux tubes Parallel transport on non-Abelian flux tubes

2003-12-10

arxiv.org/abs/hep-th/0312112v2

Mod.Phys.Lett. A20 (2005) 1695-1702

Physics

High Energy Physics

High Energy Physics - Theory

significant portions of text rewritten, references added

Scientific paper

10.1142/S0217732305016701

I propose a way of unambiguously parallel transporting fields on non-Abelian flux tubes, or strings, by means of two gauge fields. One gauge field transports along the tube, while the other transports normal to the tube. Ambiguity is removed by imposing an integrability condition on the pair of fields. The construction leads to a gauge theory of mathematical objects known as Lie 2-groups, which are known to result also from the parallel transport of the flux tubes themselves. The integrability condition is also shown to be equivalent to the assumption that parallel transport along nearby string configurations are equal up to arbitrary gauge transformations. Attempts to implement this condition in a field theory leads to effective actions for two-form fields.

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