Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state representations of some non-rational conformal nets   We construct families of ground state representations of the U(1)-current net
and of the Virasoro nets Vir_c with central charge c >= 1. We show that these
representations are not covariant with respect to the original dilations, and
those on the U(1)-current net are not solitonic.
  Furthermore, by going to the dual net with respect to the ground state
representations of Vir_c, we obtain a possibly new family of M\"obius covariant
nets on S^1.

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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: gr-qc