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

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arxiv 1903.00168 v1 pith:DNT5HO3B submitted 2019-03-01 hep-th

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

classification hep-th
keywords curvequantumtheorygaugeargyres-douglascurveslimitscaling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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