Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Commuting Projector Hamiltonians and the Quantum Hall Effect   We prove that neither Integer nor Fractional Quantum Hall Effects with
nonzero Hall conductivity are possible in gapped systems described by Local
Commuting Projector Hamiltonians.

3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: nlin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph