Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary pseudonatural transformations   There are two obvious approaches to a definition of unitarity for
pseudonatural transformations between unitary pseudofunctors on pivotal dagger
2-categories. The first is to require that the 2-morphism components of the
transformation be unitary. The second is to require that the dagger of the
transformation be equal to its inverse. We show that the `inverse' making these
definitions equivalent is the right dual of the transformation in the
2-category Fun(C,D) of unitary pseudofunctors C->D, pseudonatural
transformations, and modifications. When restricted to unitary pseudonatural
transformations, we show that the 2-category Fun(C,D) is a pivotal dagger
2-category. We apply these results to obtain a Morita-theoretical
classification of unitary pseudonatural transformations between fibre functors
on the category of representations of a compact quantum group.

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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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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: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat