Seiberg-Witten Theory and Random Partitions
Nekrasov, Nikita ; Okounkov, Andrei
arXiv, 0306238 / Harvested from arXiv
Text on arXiv
We 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.
Publié le : 2003-06-24
Classification:  High Energy Physics - Theory,  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Mathematics - Algebraic Geometry,  Mathematics - Probability,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0306238,
     author = {Nekrasov, Nikita and Okounkov, Andrei},
     title = {Seiberg-Witten Theory and Random Partitions},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306238}
}

Nekrasov, Nikita; Okounkov, Andrei. Seiberg-Witten Theory and Random Partitions. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306238/