BPS spectrum of Argyres-Douglas theory via spectral network

A bstractWe study the BPS spectrum of four-dimensional $ \mathcal{N} $ = 2 superconformal field theory of Argyres-Douglas type, obtained via twisted compactification of six-dimensional AN −1 (2, 0) theory on a sphere with an irregular puncture, by using spectral networks. We give strong evidence of the equivalence of $ \mathcal{N} $ = 2 superconformal field theories from sixdimensional theories of different ranks by systematically comparing the chamber structure and wall-crossing phenomena.