Generalised Permutation Branes on a product of cosets $G_{k_1}/H\times   G_{k_2}/H$
  We 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. 
Gor Sarkissian