Theory HEP Seminar

Origami of a Gaiotto Curve from a Seiberg-Witten Curve

Chan Youn Park

Caltech

When the Seiberg-Witten curve of a four-dimensional 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 to some of the branch points of the covering map on the Riemann surface, in addition to the other branch points that can be identified with the punctures of the Gaiotto curve.

The locations of these additional branch points on the Riemann surface depend not only on gauge coupling parameters but also on Coulomb branch parameters and mass parameters of the theory. This helps us to describe various interesting limits of the parameters, including Argyres-Douglas fixed points.