Ellipsoid partition function from Seiberg-Witten monopoles

Understand

We study Higgs branch localization of N=2 supersymmetric theories placed on compact Euclidean manifolds.

• We analyze the resulting localization equations in detail on the four-sphere and find that in this case the path integral is dominated by vortex-like configurations as well as singular Seiberg-Witten monopoles located at the north and south pole.
• The partition function is written accordingly.