Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Multi-field Complex Bateman Equation   The multi-field generalisation of the Bateman equation arises from
considerations of the continuation of String and Brane equations to the case
where the base space is of higher dimension than the target space. The complex
extension of this equation possesses a remarkably large invariance group, and
admits a very simple implicit form for its general solution, in addition to the
special case of holomorphic and anti-holomorphic explicit solutions. A class of
inequivalent Lagrangians for this equation is discovered.

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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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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: eess
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The categories of this paper are: hep-ex