Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic modular double and 4d partition functions   We consider 4d supersymmetric (special) unitary $\Gamma$ quiver gauge
theories on compact manifolds which are $T^2$ fibrations over $S^2$. We show
that their partition functions are correlators of vertex operators and
screening charges of the modular double version of elliptic
$W_{q,t;q'}(\Gamma)$ algebras. We also consider a generating function of BPS
surface defects supported on $T^2$ and show that it can be identified with a
particular coherent state in the Fock module over the elliptic Heisenberg
algebra.

35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci