A note on chiral trace relations from qq-characters

Saebyeok Jeong; Xinyu Zhang

A note on chiral trace relations from qq-characters

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arxiv 1910.10864 v2 pith:ZS75OJCF submitted 2019-10-24 hep-th

Saebyeok Jeong , Xinyu Zhang This is my paper · ORCID

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keywords gaugerelationschiraloperatorsprocedureqq-characterstheoriestheory

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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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$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory
hep-th 2025-07 conditional novelty 7.0 of 10

In 5d N=1 U(N) gauge theory, codimension-two defects produce Q-operators whose q-difference equations are the Baxter TQ equations of XXZ spin chains built on bi-infinite evaluation modules of quantum affine algebras.

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