Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A-D-E Polynomial and Rogers--Ramanujan Identities   We conjecture polynomial identities which imply Rogers--Ramanujan type
identities for branching functions associated with the cosets $({\cal
G}^{(1)})_{\ell-1}\otimes ({\cal G}^{(1)})_{1} / ({\cal G}^{(1)})_{\ell}$, with
${\cal G}$=A$_{n-1}$ \mbox{$(\ell\geq 2)$}, D$_{n-1}$ $(\ell\geq 2)$,
E$_{6,7,8}$ $(\ell=2)$. In support of our conjectures we establish the correct
behaviour under level-rank duality for $\cal G$=A$_{n-1}$ and show that the
A-D-E Rogers--Ramanujan identities have the expected $q\to 1^{-}$ asymptotics
in terms of dilogarithm identities. Possible generalizations to arbitrary
cosets are also discussed briefly.

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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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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: cond-mat
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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: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph