Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Gauge Theory with String 2-Groups   We give a complete and explicit description of the kinematical data of higher
gauge theory on principal 2-bundles with the string 2-group model of
Schommer-Pries as structure 2-group. We start with a self-contained review of
the weak 2-category Bibun of Lie groupoids, bibundles and bibundle morphisms.
We then construct categories internal to Bibun, which allow us to define
principal 2-bundles with 2-groups internal to Bibun as structure 2-groups.
Using these, we Lie-differentiate the 2-group model of the string group and we
obtain the well-known string Lie 2-algebra. Generalizing the differentiation
process, we find Maurer-Cartan forms leading us to higher non-abelian Deligne
cohomology, encoding the kinematical data of higher gauge theory together with
their (finite) gauge symmetries. We end by discussing an example of non-abelian
self-dual strings in this setting.

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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org