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Abstract
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We construct an integrable sigma model with a generalized F structure, which involves a
generalized Nijenhuis structure J satisfying J^3 = −J . Utilizing the expression of the generalized
complex structure on the metric Lie group manifold 𝐺 in terms of operator relations on its
Lie algebra g, we formulate a Yang-Baxter sigma model with a generalized complex structure.
Additionally, we present multi-Yang-Baxter sigma models featuring two and three compatible
Nijenhuis structures. Examples for each of these models are provide
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