Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circular quiver gauge theories, isomonodromic deformations and $W_N$
  fermions on the torus   We study the relation between class S theories on punctured tori and
isomonodromic deformations of flat SL(N) connections on the two dimensional
torus with punctures. Turning on the self dual $\Omega$-background corresponds
to a deautonomization of the Seiberg-Witten integrable system which implies a
specific time dependence in its Hamiltonians. We show that the corresponding
$\tau$-function is proportional to the dual gauge theory partition function,
the proportionality factor being a non trivial function of the solution of the
deautonomized Seiberg-Witten integrable system. This is obtained by mapping the
isomonodromic deformation problem to $W_N$ free fermion correlators on the
torus.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph