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

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.