Quantum Seiberg-Witten curve and universality in Argyres-Douglas theories

摘要

We study the quantum Seiberg-Witten (SW) curves for(A1,G)-type Argyres-Douglas (AD) theory by taking the scaling limit of the quantum SW curve ofN=2gauge theory with gauge groupG. ForG=Ar, the quantum SW curve of the AD theory is consistent with the scaling limit of the curve of the gauge theory. ForG=Dr, we need the quantum correction to the SW curve of the AD theory, which depends on the quantization condition of the original SW curve. We also study the universality of the quantum SW curves for(A1,A3)and(A1,D4)-type AD theories.