Permutation branes and linear matrix factorisations
  All the known rational boundary states for Gepner models can be regarded as permutation branes. On general grounds, one expects that topological branes in Gepner models can be encoded as matrix factorisations of the corresponding Landau-Ginzburg potentials. In this paper we identify the matrix factorisations associated to arbitrary B-type permutation branes. 
H{\aa}kon Enger, Andreas Recknagel, Daniel Roggenkamp