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

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.

16 pages

References in corpus (3)

• R-Twisting and 4d/2d Correspondences
• Nekrasov prepotential with fundamental matter from the quantum spin chain
• Classical irregular block, N=2 pure gauge theory and Mathieu equation

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• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory