Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group actions on 2-categories   We study actions of discrete groups on 2-categories. The motivating examples
are actions on the 2-category of representations of finite tensor categories
and their relation with the extension theory of tensor categories by groups.
Associated to a group action on a 2-category, we construct the 2-category of
equivariant objects. We also introduce the G-equivariant notions of
pseudofunctor, pseudonatural transformation and modification. Our first main
result is a coherence theorem for 2-categories with an action of a group. For a
2-category B with an action of a group G, we construct a braided G-crossed
monoidal category Z_G(B) with trivial component the Drinfeld center of B. We
prove that, in the case of a G-action on the 2-category of representation of a
tensor category C, the 2-category of equivariant objects is biequivalent to the
module categories over an associated G-extension of C. Finally, we prove that
the center of the equivariant 2-category is monoidally equivalent to the
equivariantization of a relative center, generalizing results obtained in [S.
Gelaki, D. Naidu and D. Nikshych, Centers of graded fusion categories, Algebra
Number Theory 3, No. 8 (2009), 959--990.]

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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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: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg