Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partially-PT-symmetric optical potentials with all-real spectra and
  soliton families in multi-dimensions   Multi-dimensional complex optical potentials with partial parity-time (PT)
symmetry are proposed. The usual PT symmetry requires that the potential is
invariant under complex conjugation and simultaneous reflection in all spatial
directions. However, we show that if the potential is only partially
PT-symmetric, i.e., it is invariant under complex conjugation and reflection in
a single spatial direction, then it can also possess all-real spectra and
continuous families of solitons. These results are established analytically and
corroborated numerically.

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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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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: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc