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tt * equations, localization and exact chiral rings in 4d N $$ \mathcal{N} $$ =2 SCFTs

tt * equations, localization and exact chiral rings in 4d N $$ \mathcal{N} $$ =2 SCFTs

We compute exact 2- and 3-point functions of chiral primaries in four-dimensional $$ \mathcal{N} $$ = 2 superconformal field theories, including all perturbative and instanton contributions. We demonstrate that these correlation functions are nontrivial and satisfy exact differential equations with respect to the coupling constants. These equations are the analogue …