New developments in the quantization of supersymmetric solitons (kinks, vortices and monopoles)

Abstract

We discuss the one-loop quantum corrections to the mass M and central charge Z of supersymmetric solitons: the kink, the vortex and the monopole. Contrary to previous expectations and published results, in each of these cases there are nonvanishing quantum corrections to the mass. For the N=1 kink and the N=2 monopole a new anomaly in Z rescues BPS saturation (M=Z); for the N=2 vortex, BPS saturation is rescued for two reasons: (i) the quantum fluctuations of the Higgs field acquire a nontrivial phase due to the winding of the classical solution, and (ii) a fermionic zero mode used in the literature is shown not to be normalizable.Comment: 15 pages, REVTEX4 style, 1 embedded postscript figure. Extended writeup of a talk given by P. van Nieuwenhuizen at the XXIV Brazilian National Meeting on Particles and Fields (Caxambu, Brazil, 30 Sep - 4 Oct 2003); to appear in the Brazilian Journal of Physic