TL;DR
This paper establishes criteria for the strong integrability of dressing cosets and introduces new sigma-model backgrounds, expanding the class of models with integrable structures based on advanced algebraic frameworks.
Contribution
It formulates sufficient conditions for strong integrability of dressing cosets and presents novel sigma-model backgrounds, including those based on higher order jet bundles of quadratic Lie groups.
Findings
Several new sigma-model backgrounds satisfying the integrability conditions.
Identification of models based on Drinfeld doubles with higher order jet bundle structures.
Expansion of the class of dressing cosets with integrable properties.
Abstract
We formulate sufficient conditions for the strong integrability of dressing cosets. We provide several sigma-model backgrounds solving those conditions, some of them are new and some of them were not so far formulated as the dressing cosets. The new models are based on the Drinfeld doubles having the structure of higher order jet bundles of quadratic Lie groups.
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