A note on chiral trace relations from qq-characters

Abstract

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 2N 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

• Extended Supersymmetry
• Nonperturbative Effects
• Supersymmetric Gauge Theory