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

Anton Rebhan, Peter van Nieuwenhuizen, Robert Wimmer
2004 Brazilian journal of physics  
We discuss the one-loop quantum corrections to the mass M and central charge Z of supersymmetric (susy) 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
more » ... re 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.
doi:10.1590/s0103-97332004000700002 fatcat:jj2ktyxy3nbj3o5igx5fqq3i2m