We study chiral operators in four-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories. We provide a general procedure to derive the exact relations among the vacuum expectation values… Click to show full abstract
We study chiral operators in four-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories. We provide a general procedure to derive the exact relations among the vacuum expectation values of chiral operators in the Ω-background using the non-perturbative Dyson-Schwinger equations of qq-characters. We demonstrate our procedure using several examples. For pure SU( N ) gauge theory and SU( N ) gauge theory with 2 N fundamental hypermultiplets, we verify the relations conjectured previously in the literature. We also briefly discuss the relations in SU( N ) linear superconformal quiver gauge theories.
               
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