Pure N=2 Super Yang-Mills and Exact WKB

Understand

We apply exact WKB methods to the study of the partition function of pure N=2 epsilon_i-deformed gauge theory in four dimensions in the context of the 2d/4d correspondence.

• We study the partition function at leading order in epsilon_2/epsilon_1 (i.e.
• at large central charge) and in an expansion in epsilon_1.
• We find corrections of the form ~ exp[- SW periods / epsilon_1] to this expansion.