| Abstract: |
We can construct various real codimension-1 objects or 'walls' in the parameter space of a supersymmetric theory: S-walls in the parameter space of a 2d N=(2,2) theory on a surface defect coupled to a 4d N=2 theory of class S, K-walls in the moduli space of a 4d N=2 Seiberg-Witten theory, and walls of marginal stability in the parameter space of a 2d N=(2,2) theory or a 4d N=2 theory when it exhibits a wall-crossing phenomena. I will explain how to construct networks of the walls, emphasizing the practice of using various open-source softwares for scientific computing in Python and introducing open-source projects initiated for the studies of the theories. I will also describe physical and mathematical applications of the networks, including the studies of BPS spectra of 4d N=2 class S theories with simply-laced gauge groups and the geometry of the moduli spaces of 4d N=2 Seiberg-Witten theories. |
