Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Parent Lattice Hamiltonian for One-Dimensional Non-Abelian
  Fractional Quantum Hall Liquids   I present a family of one-dimensional time reversal lattice Hamiltonians
whose exact ground states are bosonic non-Abelian fractional quantum Hall
liquids with well defined total chiral momentum. These Hamiltonians describe
k-hard-core bosons and involve long-range tunneling and interaction processes
with an amplitude decaying with the chord distance. For k=2 the ground state is
a p-wave paired phase corresponding to the Pfaffian quantum Hall state. This
family of non-Abelian liquids is shown to be in one-to-one correspondence with
a family of non-Abelian spin-k/2 liquids exhibiting hidden non-local order.
They are total singlets made out of k indistinguishable Resonating Valence Bond
states. The corresponding spin parent Hamiltonians are obtained.

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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: econ