Surface holonomy and gauge 2-group

Details Surface holonomy and gauge 2-group Surface holonomy and gauge 2-group

2004-02-27

arxiv.org/abs/hep-th/0402227v1

Int.J.Geom.Meth.Mod.Phys. 1 (2004) 299-310

Physics

High Energy Physics

High Energy Physics - Theory

8pp, RevTeX4, Submitted upon invitation to IJGMMP

Scientific paper

Just as point objects are parallel transported along curves, giving holonomies, string-like objects are parallel transported along surfaces, giving surface holonomies. Composition of these surfaces correspond to products in a category theoretic generalization of the gauge group, called a 2-group. I consider two different ways of constructing surface holonomies, one by using a pair of one and two form connections, and another by using a pair of one-form connections. Both procedures result in the structure of a 2-group.

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