Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-unitary fusion categories and their doubles via endomorphisms   We realise non-unitary fusion categories using subfactor-like methods, and
compute their quantum doubles and modular data. For concreteness we focus on
generalising the Haagerup-Izumi family of Q-systems. For example, we construct
endomorphism realisations of the (non-unitary) Yang-Lee model, and non-unitary
analogues of one of the even subsystems of the Haagerup subfactor and of the
Grossman-Snyder system. We supplement Izumi's equations for identifying the
half-braidings, which were incomplete even in his Q-system setting. We
conjecture a remarkably simple form for the modular S and T matrices of the
doubles of these fusion categories. We would expect all of these doubles to be
realised as the category of modules of a rational VOA and conformal net of
factors. We expect our approach will also suffice to realise the non-semisimple
tensor categories arising in logarithmic conformal field theories.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: eess
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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: solv-int
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The categories of this paper are: chem-ph