English

Q-operators are 't Hooft lines

High Energy Physics - Theory 2021-03-03 v1 Statistical Mechanics Quantum Algebra

Abstract

We study 't Hooft lines in four-dimensional holomorphic-topological Chern-Simons theory. We relate them to Q-operators in the theory of integrable systems. We give a physical interpretation of the fundamental TQ and QQ relations satisfied by Q-operators and conventional transfer matrices.

Keywords

Cite

@article{arxiv.2103.01835,
  title  = {Q-operators are 't Hooft lines},
  author = {Kevin Costello and Davide Gaiotto and Junya Yagi},
  journal= {arXiv preprint arXiv:2103.01835},
  year   = {2021}
}

Comments

79 pages, 6 figures

R2 v1 2026-06-23T23:40:05.596Z