Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace

Details Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace

2003-12-03

arxiv.org/abs/hep-th/0312037v3

Nucl.Phys. B680 (2004) 23-50

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 4 figures, minor corrections and references added, to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2003.12.035

Four-dimensional massive N=2 nonlinear sigma models and BPS wall solutions are studied in the off-shell 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 hyper-Kahler analog of the Kahler potential in N=1 theory. We examine the massive nonlinear sigma model with multi-center four-dimensional target hyper-Kahler metrics and derive the corresponding BPS equation. We study in some detail two particular cases with the Taub-NUT and double Taub-NUT metrics. The latter embodies, as its two separate limits, both Taub-NUT and Eguchi-Hanson metrics. We find that domain wall solutions exist only in the double Taub-NUT case including its Eguchi-Hanson limit.

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