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The R-Matrix in 3d Topological BF Theory

High Energy Physics - Theory 2023-09-28 v1

Abstract

In this paper I study Wilson line operators in a certain type of split Chern-Simons theory on a manifold with boundaries. The resulting gauge theory is a 3d topological BF theory equivalent to a topologically twisted 3d N=4\mathcal N=4 theory. I show that this theory realises solutions to the quantum Yang-Baxter equation all orders in perturbation theory as the expectation value of crossing Wilson lines.

Keywords

Cite

@article{arxiv.2309.15833,
  title  = {The R-Matrix in 3d Topological BF Theory},
  author = {Nanna Havn Aamand},
  journal= {arXiv preprint arXiv:2309.15833},
  year   = {2023}
}

Comments

28 pages

R2 v1 2026-06-28T12:34:03.248Z