Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping Kitaev's quantum double lattice models to Levin and Wen's
  string-net models   We exhibit a mapping identifying Kitaev's quantum double lattice models
explicitly as a subclass of Levin and Wen's string net models via a completion
of the local Hilbert spaces with auxiliary degrees of freedom. This
identification allows to carry over to these string net models the
representation-theoretic classification of the excitations in quantum double
models, as well as define them in arbitrary lattices, and provides an
illustration of the abstract notion of Morita equivalence. The possibility of
generalising the map to broader classes of string nets is considered.

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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg