Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sugawara and vertex operator constructions for deformed Virasoro
  algebras   From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum
algebra, we construct subalgebras which can be characterized as q-deformed W_N
algebras. The consistency conditions relating the parameters p,q,N and the
central charge c are shown to be related to the singularity structure of the
functional coefficients defining the exchange relations of specific vertex
operators representations of A_{q,p}({gl_{N}) available when N=2.

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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin