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A note on chiral trace relations from qq-characters

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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.

Keywords: relations characters; trace relations; gauge; note chiral; chiral trace

Journal Title: Journal of High Energy Physics
Year Published: 2019

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