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Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2018-04

Stijn J. van Tongeren

 

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.

 

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2018-04

 

15 pp.