Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: D-modules on the affine Grassmannian and representations of affine
  Kac-Moody algebras   Let ${\mathfrak g}$ be a simple Lie algebra. For a level $\kappa$ (thought of
as a symmetric ${\mathfrak g}$-invariant form of ${\mathfrak g}$), let
$\hat{\mathfrak g}_\kappa$ be the corresponding affine Kac-Moody algebra.
  Let $Gr_G$ be the affine Grassmannian of ${\mathfrak g}$, and let
$D_\kappa(Gr_G)-mod$ be the category of $\kappa$-twisted right D-modules on
$Gr_G$. By taking global sections of a D-module, we obtain a functor
$\Gamma:D_\kappa(Gr_G)-mod\to {\mathfrak g}_\kappa-mod$. It is known that this
functor is exact and faithful when $\kappa$ is negative or irrational.
  In this paper, we show that the functor $\Gamma$ is exact and faithful also
when $\kappa$ is the critical level.

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The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
0
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: eess
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The categories of this paper are: solv-int
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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: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph