Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes   We have found two non-trivial massless Dirac and two massive Rarita-Schwinger
solutions in plane wave spacetimes. The first order symmetry operator
transforming one of the massless Dirac solution to the other is constructed.
The only non-vanishing spinor bilinear generated by the standard spinor basis
is obtained and algebraic relations between the induced parallel forms are
demonstrated. It is also seen that the spin-3/2 norm of the Rarita-Schwinger
solutions enforces to the massless sector.

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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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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: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga