Pure $SU(2)$ gauge theory partition function and generalized Bessel kernel

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 equa...

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Hauptverfasser:	Gavrylenko, P, Lisovyy, O
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics
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