Abstract
We study chiral operators in four-dimensional \( \mathcal{N} \) = 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.
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Jeong, S., Zhang, X. A note on chiral trace relations from qq-characters. J. High Energ. Phys. 2020, 26 (2020). https://doi.org/10.1007/JHEP04(2020)026
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DOI: https://doi.org/10.1007/JHEP04(2020)026