Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $q$-Virasoro modular double and 3d partition functions   We study partition functions of 3d $\mathcal{N}=2$ U(N) gauge theories on
compact manifolds which are $S^1$ fibrations over $S^2$. We show that the
partition functions are free field correlators of vertex operators and
screening charges of the $q$-Virasoro modular double, which we define. The
inclusion of supersymmetric Wilson loops in arbitrary representations allows us
to show that the generating functions of Wilson loop vacuum expectation values
satisfy two SL(2,$\mathbb{Z}$)-related commuting sets of $q$-Virasoro
constraints. We generalize our construction to 3d $\mathcal{N}=2$ unitary
quiver gauge theories and as an example we give the free boson realization of
the ABJ(M) model.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess