Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On supersymmetric Einstein-Weyl spaces   We consider weighted parallel spinors in Lorentzian Weyl geometry in
arbitrary dimensions, choosing the weight such that the integrability condition
for the existence of such a spinor, implies the geometry to be Einstein-Weyl.
We then use techniques developed for the classification of supersymmetric
solutions to supergravity theories to characterise those Lorentzian EW
geometries that allow for a weighted parallel spinor, calling the resulting
geometries supersymmetric. The overall result is that they are either
conformally related to ordinary geometries admitting parallel spinors (w.r.t.
the Levi-Civita connection) or are conformally related to certain Kundt
spacetimes. A full characterisation is obtained for the 4 and 6 dimensional
cases.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol