Modules over cluster-tilted algebras that do not lie on local slices
  We characterize the indecomposable transjective modules over an arbitrary cluster-tilted algebra that do not lie on a local slice, and we provide a sharp upper bound for the number of (isoclasses of) these modules. 
Ibrahim Assem, Ralf Schiffler and Khrystyna Serhiyenko
math.RT math.RA