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We show that the dual partition function of the pure $\mathcal N=2$ $SU(2)$ gauge theory in the self-dual $\Omega$-background (a) is given by Fredholm determinant of a generalized Bessel kernel and (b) coincides with the tau function associated to the general solution of the Painlev\'e III equation of type $D_8$ (radial sine-Gordon equation).
M. Sato, T. Miwa, M. Jimbo, Holonomic quantum fields I–II
1979
Earlier work this paper cites.
M. Jimbo, T. Miwa, K. Ueno, Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I
1981
Earlier work this paper cites.
M. Jimbo, Monodromy problem and the boundary condition for some Painlevé equations
1982
Earlier work this paper cites.
V. Yu. Novokshenov, On the asymptotics of the general real solution of the Painlevé equation of the third kind
1985
Earlier work this paper cites.
A.R. Its, V.Yu. Novokshenov, The Isomonodromy Deformation Method in the Theory of Painlevé Equations
1986
Earlier work this paper cites.
Al. Zamolodchikov, Conformal scalar field on the hyperelliptic curve and critical Ashkin–Teller multipoint correlation functions
1986
Earlier work this paper cites.
S. Apikyan, Al. Zamolodchikov, Conformal blocks related to conformally invariant Ramond states of a free scalar field
1987
Earlier work this paper cites.
V. Knizhnik, Multiloop amplitudes in the theory of quantum strings and complex geometry
1989
Earlier work this paper cites.
G. Moore, Geometry of the string equations
1990
Earlier work this paper cites.
N. Seiberg, E. Witten, Electric-magnetic Duality, monopole condensation, and onfinement in 𝒩 = 2 \mathcal{N}=2 supersymmetric Yang-Mills theory
1994
Earlier work this paper cites.
N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting
2003
Cited alongside, same era.
A. S. Fokas, A. R. Its, A. A. Kapaev, V. Yu. Novokshenov, Painlevé transcendents: the Riemann-Hilbert approach
2006
Cited alongside, same era.
N. Nekrasov, A. Okounkov, Seiberg-Witten theory and random partitions
2006
Cited alongside, same era.
D. G. Niles, The Riemann-Hilbert-Birkhoff inverse monodromy problem and connection formulae for the third Painlevé transcendents
2009
Cited alongside, same era.
2010
Cited alongside, same era.
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