Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New ${\cal W}_{q,p}(sl(2))$ algebras from the elliptic algebra ${\cal
  A}_{q,p}({\hat sl}(2)_c)$   We construct operators t(z) in the elliptic algebra introduced by Foda et al.
${\cal A}_{q,p}({\hat sl}(2)_c)$. They close an exchange algebra when
p^m=q^{c+2} for m integer. In addition they commute when p=q^{2k} for k integer
non-zero, and they belong to the center of ${\cal A}_{q,p}({\hat sl}(2)_c)$
when k is odd. The Poisson structures obtained for t(z) in these classical
limits are identical to the q-deformed Virasoro Poisson algebra, characterizing
the exchange algebras at generic values of p, q and m as new ${\cal
W}_{q,p}(sl(2))$ algebras.

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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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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: physics
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom