English

A note on chiral trace relations from qq-characters

High Energy Physics - Theory 2020-04-07 v2

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.

Keywords

Cite

@article{arxiv.1910.10864,
  title  = {A note on chiral trace relations from qq-characters},
  author = {Saebyeok Jeong and Xinyu Zhang},
  journal= {arXiv preprint arXiv:1910.10864},
  year   = {2020}
}

Comments

16 pages; v2: published version

R2 v1 2026-06-23T11:53:13.953Z