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

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.