Abstract: |
When the Seiberg-Witten curve of a four-dimensional $\mathcal{N}=2$ supersymmetric gauge theory wraps a Riemann surface as a multi-sheeted cover, a topological constraint requires that the curve should develop ramification points that are mapped under the covering map to some of the branch points on the Riemann surface, whose location depend not only on gauge coupling parameters but also on Coulomb branch parameters and mass parameters of the theory. These branch points can help us to understand interesting physics in various limits of the parameters, including Argyres-Douglas fixed points. |