Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Braided tensor categories of admissible modules for affine Lie algebras   Using the tensor category theory developed by Lepowsky, Zhang and the second
author, we construct a braided tensor category structure with a twist on a
semisimple category of modules for an affine Lie algebra at an admissible
level. We conjecture that this braided tensor category is rigid and thus is a
ribbon category. We also give conjectures on the modularity of this category
and on the equivalence with a suitable quantum group tensor category. In the
special case that the affine Lie algebra is $\widehat{\mathfrak{sl}}_2$, we
prove the rigidity and modularity conjectures.

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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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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: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph