Massive nonlinear sigma models and BPS domain walls in harmonic superspace
Abstract
Fourdimensional massive N=2 nonlinear sigma models and BPS wall solutions are studied in the offshell harmonic superspace approach in which N=2 supersymmetry is manifest. The general nonlinear sigma model can be described by an analytic harmonic potential which is the hyperKähler analog of the Kähler potential in N=1 theory. We examine the massive nonlinear sigma model with multicenter fourdimensional target hyperKähler metrics and derive the corresponding BPS equation. We study in some detail two particular cases with the TaubNUT and double TaubNUT metrics. The latter embodies, as its two separate limits, both TaubNUT and EguchiHanson metrics. We find that domain wall solutions exist only in the double TaubNUT case including its EguchiHanson limit.
 Publication:

Nuclear Physics B
 Pub Date:
 March 2004
 DOI:
 10.1016/j.nuclphysb.2003.12.035
 arXiv:
 arXiv:hepth/0312037
 Bibcode:
 2004NuPhB.680...23A
 Keywords:

 11.10.z;
 11.27.+d;
 11.30.Pb;
 Field theory;
 Extended classical solutions;
 cosmic strings domain walls texture;
 Supersymmetry;
 High Energy Physics  Theory
 EPrint:
 35 pages, 4 figures, minor corrections and references added, to appear in NPB