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arxiv: 1102.1841 · v1 · pith:GK75IWNGnew · submitted 2011-02-09 · ✦ hep-th

Angular Momentum and Gravimagnetization of the {cal N}=2 SYM vacuum

classification ✦ hep-th
keywords angularmomentumvacuumgravimagnetizationdyoniceuclideanarguedbackground
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In this note we discuss the gravimagnetization of the ${\cal N}=2$ SYM vacuum in the $\Omega$-background. It is argued that the Seiberg-Witten prepotential is related to the vacuum density of the angular momentum in the Euclidean $R^4$ space. The possible role of the dyonic instantons as the microscopic angular momentum carriers which could yield the spontaneous vacuum gravimagnetization is conjectured. We interpret the dyonic instanton as a kind of the Euclidean bounce in $R^4$ similar to one responsible for the Schwinger pair creation. The induced angular momentum in $R^4$ is also briefly considered in the dual Liouville formulation of $SU(2)$ theory via AGT relation.

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