Abstract
We construct an integrable sigma model with a generalized F structure, which involves a generalized Nijenhuis structure J satisfying J3=−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 provided.
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