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

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

2004-04-28

arxiv.org/abs/hep-th/0404223v1

Braz.J.Phys. 34 (2004) 1273-1287

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, REVTEX4 style, 1 embedded postscript figure. Extended writeup of a talk given by P. van Nieuwenhuizen at the XXIV Br

Scientific paper

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.

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