Integrable Defects and Bäcklund Transformations in Yang-Baxter Models

Saskia Demulder, Thomas Raml

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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 S2 Yang-Baxter model or 2d Fateev sausage model. The second method is based on the so-called “frozen” Bäcklund 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 (Formula presented.) non-split Yang-Baxter model for this class of integrable defects.

Original languageEnglish
Article number2200017
JournalFortschritte der Physik
Volume70
Issue number4
DOIs
StatePublished - 1 Apr 2022
Externally publishedYes

Keywords

  • Bäcklund transformations
  • bialgebras
  • defects
  • integrability
  • integrable sigma-models

ASJC Scopus subject areas

  • General Physics and Astronomy

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