A note on chiral trace relations from qq-characters
Saebyeok Jeong, Xinyu Zhang
TL;DR
This paper develops a method to derive exact relations among chiral operator expectation values in 4D N=2 supersymmetric gauge theories using qq-characters, verified in several examples.
Contribution
It introduces a general procedure to obtain non-perturbative vacuum expectation value relations via qq-characters in Omega-backgrounds, extending previous conjectures.
Findings
Verified relations in pure SU(N) gauge theories
Confirmed relations in SU(N) with 2N hypermultiplets
Discussed relations in superconformal quiver theories
Abstract
We study chiral operators in four-dimensional 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 Omega-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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies