A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces
classification
🧮 math.CT
hep-thmath.DG
keywords
definebundlesconnectioncubicalnon-abelianwilsonapproachcategorical
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In the context of non-abelian gerbes we define a cubical version of categorical group 2-bundles with connection over a smooth manifold. We define their two-dimensional parallel transport, study its properties, and define non-abelian Wilson surface functionals.
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