Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral forms of Kac-Moody groups and Eisenstein series in low
  dimensional supergravity theories   Kac-Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as
symmetry groups of supergravities in dimensions less than 3, and their integer
forms $G(\mathbb{Z})$ are conjecturally U-duality groups. Mathematical
descriptions of $G(\mathbb{Z})$, due to Tits, are functorial and not amenable
to computation or applications. We construct Kac-Moody groups over $\mathbb{R}$
and $\mathbb{Z}$ using an analog of Chevalley's constructions in finite
dimensions and Garland's constructions in the affine case. We extend a
construction of Eisenstein series on finite dimensional semisimple algebraic
groups using representation theory, which appeared in the context of
superstring theory, to general Kac-Moody groups. This coincides with a
generalization of Garland's Eisenstein series on affine Kac-Moody groups to
general Kac-Moody groups and includes Eisenstein series on $E_{10}$ and
$E_{11}$. For finite dimensional groups, Eisenstein series encode the quantum
corrections in string theory and supergravity theories. Their Kac-Moody analogs
will likely also play an important part in string theory, though their roles
are not yet understood.

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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: q-bio