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Cactus Group and Monodromy of Bethe Vectors
Cactus group is the fundamental group of the real locus of the Deligneā€“Mumford moduli space of stable rational curves. This group appears naturally as an analog of the braid group in coboundary monoidal categories. We define an action of the cactus group on the set of Bethe vectors of the ā€¦