Quantum corrections to mass and central charge of supersymmetric   solitons
  We review some recent developments in the subject of quantum corrections to soliton mass and central charge. We consider in particular approaches which use local densities for these corrections, as first discussed by Hidenaga Yamagishi. We then consider dimensional regularization of the supersymmetric kink in 1+1 dimensions and an extension of this method to a 2+1-dimensional gauge theory with supersymmetric abelian Higgs vortices as the solitons. 
Alfred Scharff Goldhaber, Anton Rebhan, Peter van Nieuwenhuizen and   Robert Wimmer