Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-Dimensional generalizations of Affine Kac-Moody and Virasoro Lie
  Algebras   We discuss the higher dimensional generalizations of the Virasoro and Affine
Kac-Moody Lie algebras. We present an explicit construction for a central
extensions of the Lie Algebra $Map (X, \g)$ where $\g$ is a finite-dimensional
Lie algebra and $X$ is a complex manifold that can be described as a "right"
higher-dimensional generalization of $C^*$ from the point of view of a
corresponding group action. The constructed algebras have most of the good
properties of finite dimensional semi-simple Lie algebras and are a new class
of generalized Kac-Moody algebras. These algebras have description in terms of
higher dimensional local fields.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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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: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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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: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat