Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A vertex algebra attached to the flag manifold and Lie algebra
  cohomology   Each flag manifold carries a unique algebra of chiral differential operators.
Continuing along the lines of arXiv:0903.1281 we compute the vertex algebra
structure on the cohomology of this algebra. The answer is: the tensor product
of the center and a subalgebra; the center is isomorphic, as a commutative
associative algebra, to the cohomology of the corresponding maximal nilpotent
Lie algebra; the subalgebra is the vacuum module over the corresponding affine
Lie algebra of critical level and 0 central character. We next find the
Friedan-Martinec-Shenker-Borisov bosonization of the cohomology algebra in case
of the projective line and show that this algebra vanishes nonperturbatively,
thus verifying a suggestion by Witten.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg