Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathcal{N}=2^*$ gauge theory, free fermions on the torus and
  Painlev\'e VI   In this paper we study the extension of Painlev\'e/gauge theory
correspondence to circular quivers by focusing on the special case of $SU(2)$
$\mathcal{N}=2^*$ theory. We show that the Nekrasov-Okounkov partition function
of this gauge theory provides an explicit combinatorial expression and a
Fredholm determinant formula for the tau-function describing isomonodromic
deformations of $SL_2$ flat connections on the one-punctured torus. This is
achieved by reformulating the Riemann-Hilbert problem associated to the latter
in terms of chiral conformal blocks of a free-fermionic algebra. This viewpoint
provides the exact solution of the renormalization group flow of the $SU(2)$
$\mathcal{N}=2^*$ theory on self-dual $\Omega$-background and, in the
Seiberg-Witten limit, an elegant relation between the IR and UV gauge
couplings.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat