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Surface holonomy and gauge 2-group

Amitabha Lahiri
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Abstract

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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Amitabha Lahiri. 2004-02-27. Surface holonomy and gauge 2-group. https://doi.org/10.1142/s0219887804000186

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