Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Phenomena, modular invariants and operator algebras   We review the framework subfactors provide for understanding modular
invariants. We discuss the structure of a generalized Longo-Rehren subfactor
and the relationship between the coupling matrices of such subfactors, modular
invariance and local extensions. We relate results of Kostant, in the context
of the McKay correspondence for finite subgroups of SU(2), to subfactors. A
direct proof of how alpha-induction produces modular invariants is presented.

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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat