Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable highest weight modules over affine superalgebras and Appell's
  function   We classify integrable irreducible highest weight representations of
non-twisted affine Lie superalgebras. We give a free field construction in the
level~1 case. The analysis of this construction shows, in particular, that in
the simplest case of the $s\ell (2|1)$ level~1 affine superalgebra the
characters are expressed in terms of the Appell elliptic function. Our results
demonstrate that the representation theory of affine Lie superalgebras is quite
different from that of affine Lie algebras.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: eess