English

On Yang-Baxter models, twist operators, and boundary conditions

High Energy Physics - Theory 2022-04-19 v3

Abstract

We discuss homogeneous Yang-Baxter deformations of integrable sigma models in terms of twist operators. We show that the twist operators behave as the classical analogue of a Drinfeld twist, for all abelian and almost abelian deformations. We also use twist operators to rederive the well-known interpretation of TsT transformations -- equivalent to abelian deformations -- in terms of twisted boundary conditions. We discuss complications in extending this boundary condition picture to non-abelian deformations.

Keywords

Cite

@article{arxiv.1804.05680,
  title  = {On Yang-Baxter models, twist operators, and boundary conditions},
  author = {Stijn J. van Tongeren},
  journal= {arXiv preprint arXiv:1804.05680},
  year   = {2022}
}

Comments

v3, 15 pages, corrected typo in equation (2.4), otherwise matches v2 and published version

R2 v1 2026-06-23T01:24:53.358Z