Order parameter profiles in presence of topological defect lines
  We consider the broken phase of the n-vector model in n+1 dimensions with boundary conditions enforcing the presence of topological defect lines (Ising domain walls, XY vortex lines, and so on), and use field theory to argue an exact expression for the order parameter. 
Gesualdo Delfino
cond-mat.stat-mech hep-th