Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sorting topological stabilizer models in three dimensions   The S-matrix invariant is known to be complete for translation invariant
topological stabilizer models in two spatial dimensions, as such models are
phase equivalent to some number of copies of toric code. In three dimensions,
much less is understood about translation invariant topological stabilizer
models due to the existence of fracton topological order. Here we introduce
bulk commutation quantities inspired by the 2D S-matrix invariant that can be
employed to coarsely sort 3D topological stabilizer models into qualitatively
distinct types of phases: topological quantum field theories, foliated or
fractal type-I models with rigid string operators, or type-II models with no
string operators.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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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: bayes-an
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The categories of this paper are: chem-ph