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We argue that Hitchin's equation determines not only the low energy effective theory but also describes the UV theory of four dimensional N=2 superconformal field theories when we compactify six dimensional $A_N$ $(0,2)$ theory on a punctured Riemann surface.
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F. Benini, Y. Tachikawa, and B. Wecht, Sicilian gauge theories and N=1 dualities, arXiv:0909.1327
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