Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex algebras and Hodge structures   We compare the context of Hodge structures with that of vertex algebras of
conformal field theory. Vertex algebras appear as the highest weight
representations of infinite dimensional Lie algebras. A correspondence between
Higgs bundles and opers already is known as non-abelian Hodge theorem due to C.
Simpson. The Beilinson-Bernstein localization (correspondence) also compares
the context of variation of Hodge structure with that of highest weight modules
over flag manifolds of semisimple Lie groups. A more general analogue of the
Bernstein correspondence over a local manifold can also be formulted in the
context of geometric Langlands correspondence. We discuss a generalized version
of Harish-Chandra modules called Wakimoto modules and a generalized
Harish-Chandra homomorphism. This text is mainly an expository discussion with
a new insight toward the two concepts. We conclude with an explanation of
geometric Langlands correspondence.

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The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
6
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: dg-ga
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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: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol