Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal nets V: dualizability   We prove that finite-index conformal nets are fully dualizable objects in the
3-category of conformal nets. Therefore, assuming the cobordism hypothesis
applies, there exists a local framed topological field theory whose value on
the point is any finite-index conformal net. Along the way, we prove a
Peter-Weyl theorem for defects between conformal nets, namely that the annular
sector of a finite defect is the sum of every sector tensor its dual.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat