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Integrable Defects and Backlund Transformations in Yang-Baxter Models
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DOI：10.1002/prop.202200017.png)
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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.
Keyword:
Backlund transformations
bialgebras
defects
integrable sigma-models
integrability
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7.8
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2.0K
被引数:
3.6K
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