Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On AGT-W Conjecture and q-Deformed W-Algebra   We propose an extension of the Alday-Gaiotto-Tachikawa-Wyllard conjecture to
5d SU(N) gauge theories. A Nekrasov partition function then coincides with the
scalar product of the corresponding Gaiotto-Whittaker vectors of the q-deformed
W_N algebra.

14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys