Seiberg-Witten Theory and Random Partitions

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dc.creatorNekrasov, Nikita
dc.creatorOkounkov, Andrei
dc.date2003-06-25
dc.date2003-06-25
dc.date.accessioned2026-07-07T04:15:23Z
dc.date.available2026-07-07T04:15:23Z
dc.descriptionWe study N=2 supersymmetric four dimensional gauge theories, in a certain N=2 supergravity background, called Omega-background. The partition function of the theory in the Omega-background can be calculated explicitly. We investigate various representations for this partition function: a statistical sum over random partitions, a partition function of the ensemble of random curves, a free fermion correlator. These representations allow to derive rigorously the Seiberg-Witten geometry, the curves, the differentials, and the prepotential. We study pure N=2 theory, as well as the theory with matter hypermultiplets in the fundamental or adjoint representations, and the five dimensional theory compactified on a circle.
dc.description90 pp. plain TeX, 15 pictures
dc.identifierhttps://arxiv.org/abs/hep-th/0306238
dc.identifierhttp://arxiv.org/abs/hep-th/0306238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51979
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectProbability
dc.subjectExactly Solvable and Integrable Systems
dc.titleSeiberg-Witten Theory and Random Partitions
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