Jumps, twists & reflections in integrable field theories

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• Anastasia Doikou (Heriot-Watt)
• Tuesday 09 December 2014, 16:00-17:00
• DAMTP, room MR11.

If you have a question about this talk, please contact Tim Adamo.

We discuss classical integrable impurities associated to high rank algebras. The vector non-linear Schroedinger model is chosen as a prototype. A systematic construction of local integrals of motion as well as the time components of the corresponding Lax pairs is presented based on the underlying classical algebra. Suitable gluing conditions compatible with integrability are also extracted. The defect action is also examined in the presence of two distinct types of integrable boundary conditions. It turns out that certain boundaries may drastically alter the bulk behavior, and in particular the defect contribution.

This talk is part of the Mathematical Physics Seminar series.

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