2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182982We study the modifications of the generalized permutation branes defined in hep-th/0509153, which are required to give rise to the non-factorizable branes on a product of cosets $G_{k_1}/H\times G_{k_2}/H$. We find that for $k_1\neq k_2$ there exists big variety of branes, which reduce to the usual permutation branes, when $k_1=k_2$ and the permutation symmetry is restored.18 pages, latexHigh Energy Physics - Theorytext