Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some examples of Dirac-harmonic maps   We discuss a method to construct Dirac-harmonic maps developed by J.~Jost,
X.~Mo and M.~Zhu in J.~Jost, X.~Mo, M.~Zhu, \emph{Some explicit constructions
of Dirac-harmonic maps}, J. Geom. Phys. \textbf{59} (2009), no. 11,
1512--1527.The method uses harmonic spinors and twistor spinors, and mainly
applies to Dirac-harmonic maps of codimension $1$ with target spaces of
constant sectional curvature.Before the present article, it remained unclear
when the conditions of the theorems in J.~Jost, X.~Mo, M.~Zhu, \emph{Some
explicit constructions of Dirac-harmonic maps}, J. Geom. Phys. \textbf{59}
(2009), no. 11, 1512--1527, were fulfilled. We show that for isometric
immersions into spaceforms, these conditions are fulfilled only under special
assumptions.In several cases we show the existence of solutions.

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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph