Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebras, BPS States, and Strings   We clarify the role played by BPS states in the calculation of threshold
corrections of D=4, N=2 heterotic string compactifications. We evaluate these
corrections for some classes of compactifications and show that they are sums
of logarithmic functions over the positive roots of generalized Kac-Moody
algebras. Moreover, a certain limit of the formulae suggests a reformulation of
heterotic string in terms of a gauge theory based on hyperbolic algebras such
as $E_{10}$. We define a generalized Kac-Moody Lie superalgebra associated to
the BPS states. Finally we discuss the relation of our results with string
duality.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph