Integrable Defects and Backlund Transformations in Yang-Baxter Models

Demulder, Saskia und Raml, Thomas (2022): Integrable Defects and Backlund Transformations in Yang-Baxter Models. In: Fortschritte der Physik - Progress of Physics, Bd. 70, Nr. 4, 2200017

Abstract

We explore two distinct methods to introduce integrable defects in a family of integrable sigma-models known as Yang-Baxter models. The first method invokes a modified monodromy matrix encoding an integrable defect separating two integrable systems. As an example we construct integrable defects in the ultralocal version of the S-2 Yang-Baxter model or 2d Fateev sausage model. The second method is based on the so-called frozen Backlund transformations. Lifting the construction to the Drinfel'd double, we show how defect matrices can be constructed for inhomogeneous Yang-Baxter models. We provide explicit expressions for the SU(2)$SU(2)$ non-split Yang-Baxter model for this class of integrable defects.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0015-8208
• Sprache: Englisch