Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bisognano-Wichmann property for rigid categorical extensions and
  non-local extensions of conformal nets   Given an (irreducible) Mobius covariant net $\mathcal A$, we prove a
Bisognano-Wichmann theorem for its categorical extension $\mathscr
E^{\textrm{d}}$ associated to the braided $C^*$-tensor category
$\textrm{Rep}^{\textrm{d}}(\mathcal A)$ of dualizable (more precisely
"dualized") Mobius covariant $\mathcal A$-modules. As a closely related result,
we prove a (modified) Bisognano-Wichmann theorem for any (possibly) non-local
extension of $\mathcal A$ obtained by a $C^*$-Frobenius algebra $Q$ in
$\textrm{Rep}^{\textrm{d}}(\mathcal A)$. As an application, we discuss the
relation between the domains of modular operators and the preclosedness of
certain unbounded operators in $\mathscr E^{\textrm{d}}$.

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The categories of this paper are: eess
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int