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In the present paper we construct braid group actions on quantum symmetricpair coideal subalgebras of type AIII/AIV. This completes the proof of aconjecture by Kolb and Pellegrini in the case where the underlying Lie algebrais $\mathfrak{sl}_n$. The braid group actions are defined on the generators ofthe coideal subalgebras and the defining relations and braid relations areverified by explicit calculations.

Braid group actions for quantum symmetric pairs of type AIII/AIV