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

Understand

We study the quantum Seiberg-Witten (SW) curves for $(A_1, G)$-type Argyres-Douglas (AD) theory by taking the scaling limit of the quantum SW curve of $N=2$ gauge theory with gauge group $G$.

• For $G=A_r$, the quantum SW curve of the AD theory is consistent with the scaling limit of the curve of the gauge theory.
• For $G=D_r$, 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 $(A_1, A_3)$ and $(A_1, D_4)$-type AD theories.