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arXiv · 1804.05680

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

Stijn J. van Tongeren
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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.

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Stijn J. van Tongeren. 2018-04-16. On Yang-Baxter models, twist operators, and boundary conditions. https://doi.org/10.1088/1751-8121/aac8eb

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