Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: D-modules on the affine flag variety and representations of affine
  Kac-Moody algebras   We study the connection between the category of modules over the affine
Kac-Moody Lie algebra at the critical level, and the category of D-modules on
the affine flag scheme G((t))/I, where I is the Iwahori subgroup.
  We prove a localization-type result, which establishes an equivalence between
certain subcategories on both sides.
  We also establish an equivalence between a certain subcategory of Kac-Moody
modules, and the category of quasi-coherent sheaves on the scheme of Miura
opers for the Langlands dual group, thereby proving a conjecture of [FG2].

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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat