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

## TL;DR

This paper investigates the quantum Seiberg-Witten curves for Argyres-Douglas theories, revealing their universality and the necessity of quantum corrections depending on the gauge group type.

## Contribution

It provides a detailed analysis of the quantum SW curves for (A_1, G)-type AD theories, including the derivation of quantum corrections and universality properties.

## Key findings

- Quantum SW curves for (A_1, G) theories derived from gauge theory limits.
- Quantum corrections are necessary for D_r-type AD theories.
- Universal behavior observed in (A_1, A_3) and (A_1, D_4) cases.

## Abstract

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.