Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf instantons and the Liouville equation in target space   We generalise recent results on Hopf instantons in a Chern--Simons and
Fermion theory in a fixed background magnetic field. We find that these
instanton solutions have to obey the Liouville equation in target space. As a
consequence, these solutions are given by a class of Hopf maps that consist of
the composition of the standard Hopf map with an arbitrary rational map.

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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: quant-ph